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-15=-8z-+1
We move all terms to the left:
-15-(-8z-+1)=0
We add all the numbers together, and all the variables
-(-8z)-15=0
We get rid of parentheses
8z-15=0
We move all terms containing z to the left, all other terms to the right
8z=15
z=15/8
z=1+7/8
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