diff --git a/src/main/java/com/powsybl/openloadflow/ac/AcTargetVector.java b/src/main/java/com/powsybl/openloadflow/ac/AcTargetVector.java
index 7f5c4d93aa..67cbfffac8 100644
--- a/src/main/java/com/powsybl/openloadflow/ac/AcTargetVector.java
+++ b/src/main/java/com/powsybl/openloadflow/ac/AcTargetVector.java
@@ -66,7 +66,7 @@ private static double getReactivePowerControlTarget(LfBranch branch) {
 
     public static void init(Equation<AcVariableType, AcEquationType> equation, LfNetwork network, double[] targets) {
         switch (equation.getType()) {
-            case BUS_TARGET_P:
+            case BUS_TARGET_P, BUS_DISTR_SLACK_P:
                 targets[equation.getColumn()] = network.getBus(equation.getElementNum()).getTargetP();
                 break;
 
@@ -118,7 +118,6 @@ public static void init(Equation<AcVariableType, AcEquationType> equation, LfNet
                  DISTR_SHUNT_B,
                  DUMMY_TARGET_P,
                  DUMMY_TARGET_Q,
-                 BUS_DISTR_SLACK_P,
                  BUS_TARGET_IX_ZERO,
                  BUS_TARGET_IY_ZERO,
                  BUS_TARGET_IX_NEGATIVE,
diff --git a/src/main/java/com/powsybl/openloadflow/ac/equations/AcEquationSystemCreator.java b/src/main/java/com/powsybl/openloadflow/ac/equations/AcEquationSystemCreator.java
index a3b190b729..a29a2d5a45 100644
--- a/src/main/java/com/powsybl/openloadflow/ac/equations/AcEquationSystemCreator.java
+++ b/src/main/java/com/powsybl/openloadflow/ac/equations/AcEquationSystemCreator.java
@@ -1037,13 +1037,13 @@ private void createMultipleSlackBusesEquations(EquationSystem<AcVariableType, Ac
             for (int i = 1; i < slackBuses.size(); i++) {
                 LfBus slackBus = slackBuses.get(i);
                 // example for 2 slack buses
-                // 0 = slack_p1 - slack_p2
-                // 0 = slack_p1 - slack_p3
+                // 0 = slack_p2 - slack_p1
+                // 0 = slack_p3 - slack_p1
                 equationSystem.createEquation(slackBus, AcEquationType.BUS_DISTR_SLACK_P)
-                        .addTerms(createActiveInjectionTerms(firstSlackBus, equationSystem.getVariableSet()))
-                        .addTerms(createActiveInjectionTerms(slackBus, equationSystem.getVariableSet()).stream()
+                        .addTerms(createActiveInjectionTerms(firstSlackBus, equationSystem.getVariableSet()).stream()
                                 .map(EquationTerm::minus)
-                                .collect(Collectors.toList()));
+                                .toList())
+                        .addTerms(createActiveInjectionTerms(slackBus, equationSystem.getVariableSet()));
                 // to update open/close terms activation
                 for (LfBranch branch : slackBus.getBranches()) {
                     updateBranchEquations(branch);
diff --git a/src/test/java/com/powsybl/openloadflow/ac/MultipleSlackBusesTest.java b/src/test/java/com/powsybl/openloadflow/ac/MultipleSlackBusesTest.java
index fc32dd6fd1..fd7a5be7ad 100644
--- a/src/test/java/com/powsybl/openloadflow/ac/MultipleSlackBusesTest.java
+++ b/src/test/java/com/powsybl/openloadflow/ac/MultipleSlackBusesTest.java
@@ -121,17 +121,15 @@ void targetVectorBug() {
         LoadFlowResult.ComponentResult componentResult = result.getComponentResults().get(0);
         List<LoadFlowResult.SlackBusResult> slackBusResults = componentResult.getSlackBusResults();
 
-
         TwoWindingsTransformer t2wtLoad = network.getTwoWindingsTransformer("NHV2_NLOAD");
         Load load = network.getLoad("LOAD");
 
-        // Load is ignored by LF equations only slack goes to this bus
-        assertEquals(-301.159, t2wtLoad.getTerminal2().getP(), LoadFlowAssert.DELTA_POWER);
+        assertEquals(-600.71, t2wtLoad.getTerminal2().getP(), LoadFlowAssert.DELTA_POWER);
         assertEquals(600.0, load.getTerminal().getP(), LoadFlowAssert.DELTA_POWER);
 
-        // Slack bus mismatch is false
+        // still a small difference, needs a bit more investigation
         assertEquals(2, slackBusResults.size());
-        assertEquals(-1.15940, slackBusResults.get(0).getActivePowerMismatch(), LoadFlowAssert.DELTA_POWER);
-        assertEquals(-1.15940, slackBusResults.get(1).getActivePowerMismatch(), LoadFlowAssert.DELTA_POWER);
+        assertEquals(-0.711, slackBusResults.get(0).getActivePowerMismatch(), LoadFlowAssert.DELTA_POWER);
+        assertEquals(-0.711, slackBusResults.get(1).getActivePowerMismatch(), LoadFlowAssert.DELTA_POWER);
     }
 }