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15(z+4)-2(z-3)=5(z-1)+7(z-3)
We move all terms to the left:
15(z+4)-2(z-3)-(5(z-1)+7(z-3))=0
We multiply parentheses
15z-2z-(5(z-1)+7(z-3))+60+6=0
We calculate terms in parentheses: -(5(z-1)+7(z-3)), so:We add all the numbers together, and all the variables
5(z-1)+7(z-3)
We multiply parentheses
5z+7z-5-21
We add all the numbers together, and all the variables
12z-26
Back to the equation:
-(12z-26)
13z-(12z-26)+66=0
We get rid of parentheses
13z-12z+26+66=0
We add all the numbers together, and all the variables
z+92=0
We move all terms containing z to the left, all other terms to the right
z=-92
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