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3q-1=5(q-1)-2(7-2q)
We simplify the equation to the form, which is simple to understand
3q-1=5(q-1)-2(7-2q)
Reorder the terms in parentheses
3q-1=+(+5q-5)-2*(7-2q)
Remove unnecessary parentheses
+3q-1=+5q-5-2+*(+7-2q+)
Reorder the terms in parentheses
3q-1=+5q-5+(-14+4q)
Remove unnecessary parentheses
+3q-1=+5q-5-14+4q
We move all terms containing q to the left and all other terms to the right.
+3q-5q-4q=-5-14+1
We simplify left and right side of the equation.
-6q=-18
We divide both sides of the equation by -6 to get q.
q=3
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