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5z-5(4z-6)=5(z-8)
We move all terms to the left:
5z-5(4z-6)-(5(z-8))=0
We multiply parentheses
5z-20z-(5(z-8))+30=0
We calculate terms in parentheses: -(5(z-8)), so:We add all the numbers together, and all the variables
5(z-8)
We multiply parentheses
5z-40
Back to the equation:
-(5z-40)
-15z-(5z-40)+30=0
We get rid of parentheses
-15z-5z+40+30=0
We add all the numbers together, and all the variables
-20z+70=0
We move all terms containing z to the left, all other terms to the right
-20z=-70
z=-70/-20
z=3+1/2
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