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2z+15=3z-17
We move all terms to the left:
2z+15-(3z-17)=0
We get rid of parentheses
2z-3z+17+15=0
We add all the numbers together, and all the variables
-1z+32=0
We move all terms containing z to the left, all other terms to the right
-z=-32
z=-32/-1
z=+32
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