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6z/3-30=9-5z/3
We move all terms to the left:
6z/3-30-(9-5z/3)=0
We add all the numbers together, and all the variables
6z/3-(-5z/3+9)-30=0
We get rid of parentheses
6z/3+5z/3-9-30=0
We multiply all the terms by the denominator
6z+5z-9*3-30*3=0
We add all the numbers together, and all the variables
11z-117=0
We move all terms containing z to the left, all other terms to the right
11z=117
z=117/11
z=10+7/11
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