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7=4q-9=
We move all terms to the left:
7-(4q-9)=0
We get rid of parentheses
-4q+9+7=0
We add all the numbers together, and all the variables
-4q+16=0
We move all terms containing q to the left, all other terms to the right
-4q=-16
q=-16/-4
q=+4
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