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2z+8=5z-80
We move all terms to the left:
2z+8-(5z-80)=0
We get rid of parentheses
2z-5z+80+8=0
We add all the numbers together, and all the variables
-3z+88=0
We move all terms containing z to the left, all other terms to the right
-3z=-88
z=-88/-3
z=29+1/3
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