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2(z-5)=3(z+4)
We move all terms to the left:
2(z-5)-(3(z+4))=0
We multiply parentheses
2z-(3(z+4))-10=0
We calculate terms in parentheses: -(3(z+4)), so:We get rid of parentheses
3(z+4)
We multiply parentheses
3z+12
Back to the equation:
-(3z+12)
2z-3z-12-10=0
We add all the numbers together, and all the variables
-1z-22=0
We move all terms containing z to the left, all other terms to the right
-z=22
z=22/-1
z=-22
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