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