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6z/9=9
We move all terms to the left:
6z/9-(9)=0
We multiply all the terms by the denominator
6z-9*9=0
We add all the numbers together, and all the variables
6z-81=0
We move all terms containing z to the left, all other terms to the right
6z=81
z=81/6
z=13+1/2
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