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7(6-z)=-z
We move all terms to the left:
7(6-z)-(-z)=0
We add all the numbers together, and all the variables
7(-1z+6)-(-1z)=0
We multiply parentheses
-7z-(-1z)+42=0
We get rid of parentheses
-7z+1z+42=0
We add all the numbers together, and all the variables
-6z+42=0
We move all terms containing z to the left, all other terms to the right
-6z=-42
z=-42/-6
z=+7
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