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6z-8=z+7
We move all terms to the left:
6z-8-(z+7)=0
We get rid of parentheses
6z-z-7-8=0
We add all the numbers together, and all the variables
5z-15=0
We move all terms containing z to the left, all other terms to the right
5z=15
z=15/5
z=3
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