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