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5(3+z)-(8z+9)=9
We move all terms to the left:
5(3+z)-(8z+9)-(9)=0
We add all the numbers together, and all the variables
5(z+3)-(8z+9)-9=0
We multiply parentheses
5z-(8z+9)+15-9=0
We get rid of parentheses
5z-8z-9+15-9=0
We add all the numbers together, and all the variables
-3z-3=0
We move all terms containing z to the left, all other terms to the right
-3z=3
z=3/-3
z=-1
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