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8(9z+6)=10(8z-8)
We move all terms to the left:
8(9z+6)-(10(8z-8))=0
We multiply parentheses
72z-(10(8z-8))+48=0
We calculate terms in parentheses: -(10(8z-8)), so:We get rid of parentheses
10(8z-8)
We multiply parentheses
80z-80
Back to the equation:
-(80z-80)
72z-80z+80+48=0
We add all the numbers together, and all the variables
-8z+128=0
We move all terms containing z to the left, all other terms to the right
-8z=-128
z=-128/-8
z=+16
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