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-3(21z-4)-42=12(-5z+5)
We move all terms to the left:
-3(21z-4)-42-(12(-5z+5))=0
We multiply parentheses
-63z-(12(-5z+5))+12-42=0
We calculate terms in parentheses: -(12(-5z+5)), so:We add all the numbers together, and all the variables
12(-5z+5)
We multiply parentheses
-60z+60
Back to the equation:
-(-60z+60)
-63z-(-60z+60)-30=0
We get rid of parentheses
-63z+60z-60-30=0
We add all the numbers together, and all the variables
-3z-90=0
We move all terms containing z to the left, all other terms to the right
-3z=90
z=90/-3
z=-30
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