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-5(4-3z)=8z+22
We move all terms to the left:
-5(4-3z)-(8z+22)=0
We add all the numbers together, and all the variables
-5(-3z+4)-(8z+22)=0
We multiply parentheses
15z-(8z+22)-20=0
We get rid of parentheses
15z-8z-22-20=0
We add all the numbers together, and all the variables
7z-42=0
We move all terms containing z to the left, all other terms to the right
7z=42
z=42/7
z=6
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