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