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7z+10=4z+37
We move all terms to the left:
7z+10-(4z+37)=0
We get rid of parentheses
7z-4z-37+10=0
We add all the numbers together, and all the variables
3z-27=0
We move all terms containing z to the left, all other terms to the right
3z=27
z=27/3
z=9
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