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-6(8z+5)=27-7z
We move all terms to the left:
-6(8z+5)-(27-7z)=0
We add all the numbers together, and all the variables
-6(8z+5)-(-7z+27)=0
We multiply parentheses
-48z-(-7z+27)-30=0
We get rid of parentheses
-48z+7z-27-30=0
We add all the numbers together, and all the variables
-41z-57=0
We move all terms containing z to the left, all other terms to the right
-41z=57
z=57/-41
z=-1+16/41
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