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9(z+1)-2(z-2)=3(z-4)+3(z-3)
We move all terms to the left:
9(z+1)-2(z-2)-(3(z-4)+3(z-3))=0
We multiply parentheses
9z-2z-(3(z-4)+3(z-3))+9+4=0
We calculate terms in parentheses: -(3(z-4)+3(z-3)), so:We add all the numbers together, and all the variables
3(z-4)+3(z-3)
We multiply parentheses
3z+3z-12-9
We add all the numbers together, and all the variables
6z-21
Back to the equation:
-(6z-21)
7z-(6z-21)+13=0
We get rid of parentheses
7z-6z+21+13=0
We add all the numbers together, and all the variables
z+34=0
We move all terms containing z to the left, all other terms to the right
z=-34
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