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3(2z-1)+4(z+3)=(2z-1)+4(3z-1)
We move all terms to the left:
3(2z-1)+4(z+3)-((2z-1)+4(3z-1))=0
We multiply parentheses
6z+4z-((2z-1)+4(3z-1))-3+12=0
We calculate terms in parentheses: -((2z-1)+4(3z-1)), so:We add all the numbers together, and all the variables
(2z-1)+4(3z-1)
We multiply parentheses
(2z-1)+12z-4
We get rid of parentheses
2z+12z-1-4
We add all the numbers together, and all the variables
14z-5
Back to the equation:
-(14z-5)
10z-(14z-5)+9=0
We get rid of parentheses
10z-14z+5+9=0
We add all the numbers together, and all the variables
-4z+14=0
We move all terms containing z to the left, all other terms to the right
-4z=-14
z=-14/-4
z=3+1/2
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