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z/6+7=8-7/6
We move all terms to the left:
z/6+7-(8-7/6)=0
We add all the numbers together, and all the variables
z/6+7-(-7/6+8)=0
We get rid of parentheses
z/6+7-8+7/6=0
We multiply all the terms by the denominator
z+7+7*6-8*6=0
We add all the numbers together, and all the variables
z+1=0
We move all terms containing z to the left, all other terms to the right
z=-1
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