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2(9-2z)-3(2z+9)=z-18
We move all terms to the left:
2(9-2z)-3(2z+9)-(z-18)=0
We add all the numbers together, and all the variables
2(-2z+9)-3(2z+9)-(z-18)=0
We multiply parentheses
-4z-6z-(z-18)+18-27=0
We get rid of parentheses
-4z-6z-z+18+18-27=0
We add all the numbers together, and all the variables
-11z+9=0
We move all terms containing z to the left, all other terms to the right
-11z=-9
z=-9/-11
z=9/11
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