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6(4z-1)-2(z+8)=13(z+1)
We move all terms to the left:
6(4z-1)-2(z+8)-(13(z+1))=0
We multiply parentheses
24z-2z-(13(z+1))-6-16=0
We calculate terms in parentheses: -(13(z+1)), so:We add all the numbers together, and all the variables
13(z+1)
We multiply parentheses
13z+13
Back to the equation:
-(13z+13)
22z-(13z+13)-22=0
We get rid of parentheses
22z-13z-13-22=0
We add all the numbers together, and all the variables
9z-35=0
We move all terms containing z to the left, all other terms to the right
9z=35
z=35/9
z=3+8/9
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