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10(z+3)-2(z-3)=3(z-4)+4(z-2)
We move all terms to the left:
10(z+3)-2(z-3)-(3(z-4)+4(z-2))=0
We multiply parentheses
10z-2z-(3(z-4)+4(z-2))+30+6=0
We calculate terms in parentheses: -(3(z-4)+4(z-2)), so:We add all the numbers together, and all the variables
3(z-4)+4(z-2)
We multiply parentheses
3z+4z-12-8
We add all the numbers together, and all the variables
7z-20
Back to the equation:
-(7z-20)
8z-(7z-20)+36=0
We get rid of parentheses
8z-7z+20+36=0
We add all the numbers together, and all the variables
z+56=0
We move all terms containing z to the left, all other terms to the right
z=-56
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