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7(q+1)=9
We move all terms to the left:
7(q+1)-(9)=0
We multiply parentheses
7q+7-9=0
We add all the numbers together, and all the variables
7q-2=0
We move all terms containing q to the left, all other terms to the right
7q=2
q=2/7
q=2/7
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