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z+32=7z-10
We move all terms to the left:
z+32-(7z-10)=0
We get rid of parentheses
z-7z+10+32=0
We add all the numbers together, and all the variables
-6z+42=0
We move all terms containing z to the left, all other terms to the right
-6z=-42
z=-42/-6
z=+7
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