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3(4z+7)=-(24z-309)
We move all terms to the left:
3(4z+7)-(-(24z-309))=0
We multiply parentheses
12z-(-(24z-309))+21=0
We calculate terms in parentheses: -(-(24z-309)), so:We get rid of parentheses
-(24z-309)
We get rid of parentheses
-24z+309
Back to the equation:
-(-24z+309)
12z+24z-309+21=0
We add all the numbers together, and all the variables
36z-288=0
We move all terms containing z to the left, all other terms to the right
36z=288
z=288/36
z=8
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