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15=2z-3
We move all terms to the left:
15-(2z-3)=0
We get rid of parentheses
-2z+3+15=0
We add all the numbers together, and all the variables
-2z+18=0
We move all terms containing z to the left, all other terms to the right
-2z=-18
z=-18/-2
z=+9
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