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3z+6=4z-8
We move all terms to the left:
3z+6-(4z-8)=0
We get rid of parentheses
3z-4z+8+6=0
We add all the numbers together, and all the variables
-1z+14=0
We move all terms containing z to the left, all other terms to the right
-z=-14
z=-14/-1
z=+14
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