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