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8(z+1)-2(z-2)=3(z-2)+2(z-3)
We move all terms to the left:
8(z+1)-2(z-2)-(3(z-2)+2(z-3))=0
We multiply parentheses
8z-2z-(3(z-2)+2(z-3))+8+4=0
We calculate terms in parentheses: -(3(z-2)+2(z-3)), so:We add all the numbers together, and all the variables
3(z-2)+2(z-3)
We multiply parentheses
3z+2z-6-6
We add all the numbers together, and all the variables
5z-12
Back to the equation:
-(5z-12)
6z-(5z-12)+12=0
We get rid of parentheses
6z-5z+12+12=0
We add all the numbers together, and all the variables
z+24=0
We move all terms containing z to the left, all other terms to the right
z=-24
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