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4z+13=7z-8
We move all terms to the left:
4z+13-(7z-8)=0
We get rid of parentheses
4z-7z+8+13=0
We add all the numbers together, and all the variables
-3z+21=0
We move all terms containing z to the left, all other terms to the right
-3z=-21
z=-21/-3
z=+7
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