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6(7-z)=-5z
We move all terms to the left:
6(7-z)-(-5z)=0
We add all the numbers together, and all the variables
6(-1z+7)-(-5z)=0
We multiply parentheses
-6z-(-5z)+42=0
We get rid of parentheses
-6z+5z+42=0
We add all the numbers together, and all the variables
-1z+42=0
We move all terms containing z to the left, all other terms to the right
-z=-42
z=-42/-1
z=+42
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