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8(z+4)-2(z-2)=3(z-1)+2(z-3)
We move all terms to the left:
8(z+4)-2(z-2)-(3(z-1)+2(z-3))=0
We multiply parentheses
8z-2z-(3(z-1)+2(z-3))+32+4=0
We calculate terms in parentheses: -(3(z-1)+2(z-3)), so:We add all the numbers together, and all the variables
3(z-1)+2(z-3)
We multiply parentheses
3z+2z-3-6
We add all the numbers together, and all the variables
5z-9
Back to the equation:
-(5z-9)
6z-(5z-9)+36=0
We get rid of parentheses
6z-5z+9+36=0
We add all the numbers together, and all the variables
z+45=0
We move all terms containing z to the left, all other terms to the right
z=-45
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