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6-12z+7z-15=3z+7
We move all terms to the left:
6-12z+7z-15-(3z+7)=0
We add all the numbers together, and all the variables
-5z-(3z+7)-9=0
We get rid of parentheses
-5z-3z-7-9=0
We add all the numbers together, and all the variables
-8z-16=0
We move all terms containing z to the left, all other terms to the right
-8z=16
z=16/-8
z=-2
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