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6z+5(-2z-7)=z-1
We move all terms to the left:
6z+5(-2z-7)-(z-1)=0
We multiply parentheses
6z-10z-(z-1)-35=0
We get rid of parentheses
6z-10z-z+1-35=0
We add all the numbers together, and all the variables
-5z-34=0
We move all terms containing z to the left, all other terms to the right
-5z=34
z=34/-5
z=-6+4/5
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