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6+7z=10z-9
We move all terms to the left:
6+7z-(10z-9)=0
We get rid of parentheses
7z-10z+9+6=0
We add all the numbers together, and all the variables
-3z+15=0
We move all terms containing z to the left, all other terms to the right
-3z=-15
z=-15/-3
z=+5
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