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9(z-3)+6=3(z+3)+6
We move all terms to the left:
9(z-3)+6-(3(z+3)+6)=0
We multiply parentheses
9z-(3(z+3)+6)-27+6=0
We calculate terms in parentheses: -(3(z+3)+6), so:We add all the numbers together, and all the variables
3(z+3)+6
We multiply parentheses
3z+9+6
We add all the numbers together, and all the variables
3z+15
Back to the equation:
-(3z+15)
9z-(3z+15)-21=0
We get rid of parentheses
9z-3z-15-21=0
We add all the numbers together, and all the variables
6z-36=0
We move all terms containing z to the left, all other terms to the right
6z=36
z=36/6
z=6
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