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9+10z=-17z=
We move all terms to the left:
9+10z-(-17z)=0
We get rid of parentheses
10z+17z+9=0
We add all the numbers together, and all the variables
27z+9=0
We move all terms containing z to the left, all other terms to the right
27z=-9
z=-9/27
z=-1/3
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