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6+7q=10q-9
We move all terms to the left:
6+7q-(10q-9)=0
We get rid of parentheses
7q-10q+9+6=0
We add all the numbers together, and all the variables
-3q+15=0
We move all terms containing q to the left, all other terms to the right
-3q=-15
q=-15/-3
q=+5
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