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2z-8=7+5z
We move all terms to the left:
2z-8-(7+5z)=0
We add all the numbers together, and all the variables
2z-(5z+7)-8=0
We get rid of parentheses
2z-5z-7-8=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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