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(-4z-1)-(-7z+5)=6z-12
We move all terms to the left:
(-4z-1)-(-7z+5)-(6z-12)=0
We get rid of parentheses
-4z+7z-6z-1-5+12=0
We add all the numbers together, and all the variables
-3z+6=0
We move all terms containing z to the left, all other terms to the right
-3z=-6
z=-6/-3
z=+2
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