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3z-8=z-2

We move all terms to the left:

3z-8-(z-2)=0

We get rid of parentheses

3z-z+2-8=0

We add all the numbers together, and all the variables

2z-6=0

We move all terms containing z to the left, all other terms to the right

2z=6

z=6/2

z=3

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