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1+7q=11q-10+17q
We move all terms to the left:
1+7q-(11q-10+17q)=0
We add all the numbers together, and all the variables
7q-(28q-10)+1=0
We get rid of parentheses
7q-28q+10+1=0
We add all the numbers together, and all the variables
-21q+11=0
We move all terms containing q to the left, all other terms to the right
-21q=-11
q=-11/-21
q=11/21
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