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12(z+1)-5(z-1)=3(z-1)+3(z-2)
We move all terms to the left:
12(z+1)-5(z-1)-(3(z-1)+3(z-2))=0
We multiply parentheses
12z-5z-(3(z-1)+3(z-2))+12+5=0
We calculate terms in parentheses: -(3(z-1)+3(z-2)), so:We add all the numbers together, and all the variables
3(z-1)+3(z-2)
We multiply parentheses
3z+3z-3-6
We add all the numbers together, and all the variables
6z-9
Back to the equation:
-(6z-9)
7z-(6z-9)+17=0
We get rid of parentheses
7z-6z+9+17=0
We add all the numbers together, and all the variables
z+26=0
We move all terms containing z to the left, all other terms to the right
z=-26
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