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