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5z+5=7z-12
We move all terms to the left:
5z+5-(7z-12)=0
We get rid of parentheses
5z-7z+12+5=0
We add all the numbers together, and all the variables
-2z+17=0
We move all terms containing z to the left, all other terms to the right
-2z=-17
z=-17/-2
z=8+1/2
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