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(6z-70)=82
We move all terms to the left:
(6z-70)-(82)=0
We get rid of parentheses
6z-70-82=0
We add all the numbers together, and all the variables
6z-152=0
We move all terms containing z to the left, all other terms to the right
6z=152
z=152/6
z=25+1/3
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