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2z+12=3z-6
We move all terms to the left:
2z+12-(3z-6)=0
We get rid of parentheses
2z-3z+6+12=0
We add all the numbers together, and all the variables
-1z+18=0
We move all terms containing z to the left, all other terms to the right
-z=-18
z=-18/-1
z=+18
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