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-z-6+5z=z+6+z
We move all terms to the left:
-z-6+5z-(z+6+z)=0
We add all the numbers together, and all the variables
-z+5z-(2z+6)-6=0
We add all the numbers together, and all the variables
4z-(2z+6)-6=0
We get rid of parentheses
4z-2z-6-6=0
We add all the numbers together, and all the variables
2z-12=0
We move all terms containing z to the left, all other terms to the right
2z=12
z=12/2
z=6
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