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8z-10=6z-22
We move all terms to the left:
8z-10-(6z-22)=0
We get rid of parentheses
8z-6z+22-10=0
We add all the numbers together, and all the variables
2z+12=0
We move all terms containing z to the left, all other terms to the right
2z=-12
z=-12/2
z=-6
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