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5.5(3-2q)=2(9-7q)+0.5
We move all terms to the left:
5.5(3-2q)-(2(9-7q)+0.5)=0
We add all the numbers together, and all the variables
5.5(-2q+3)-(2(-7q+9)+0.5)=0
We multiply parentheses
-11q-(2(-7q+9)+0.5)+16.5=0
We calculate terms in parentheses: -(2(-7q+9)+0.5), so:We get rid of parentheses
2(-7q+9)+0.5
We multiply parentheses
-14q+18+0.5
We add all the numbers together, and all the variables
-14q+18.5
Back to the equation:
-(-14q+18.5)
-11q+14q-18.5+16.5=0
We add all the numbers together, and all the variables
3q-2=0
We move all terms containing q to the left, all other terms to the right
3q=2
q=2/3
q=2/3
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