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7z-10=5z+8
We move all terms to the left:
7z-10-(5z+8)=0
We get rid of parentheses
7z-5z-8-10=0
We add all the numbers together, and all the variables
2z-18=0
We move all terms containing z to the left, all other terms to the right
2z=18
z=18/2
z=9
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