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0.5(3q+1)=5
We move all terms to the left:
0.5(3q+1)-(5)=0
We multiply parentheses
1.5q+0.5-5=0
We add all the numbers together, and all the variables
1.5q-4.5=0
We move all terms containing q to the left, all other terms to the right
1.5q=4.5
q=4.5/1.5
q=3
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