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2z-1=8z-9
We move all terms to the left:
2z-1-(8z-9)=0
We get rid of parentheses
2z-8z+9-1=0
We add all the numbers together, and all the variables
-6z+8=0
We move all terms containing z to the left, all other terms to the right
-6z=-8
z=-8/-6
z=1+1/3
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