What Happens to Reagents When Sodium Hydride Is Added?

sd34
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Homework Statement
I need to find the molecules A, B, C, D from the following guided reaction.
Relevant Equations
I can’t get past A...I did the aldol condensation for A, but then I’m stuck at this point...I can’t figure out how to go on from there.
4BC9C7FB-D8B1-4AA4-A07D-14B13E92BA8C.jpeg

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I think your first step isn’t right. What happens to your reagents when you add sodium hydride?
 
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