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1/2(4q+12)=2+3(6-q)
We simplify the equation to the form, which is simple to understand
1/2(4q+12)=2+3(6-q)
Simplifying:
+ 0.5*(4q+12)=2+3*(6-q)
Reorder the terms in parentheses
+(+2q+6)=2+3*(6-q)
Remove unnecessary parentheses
+2q+6=+2+3+*(+6-q+)
Reorder the terms in parentheses
+2q+6=2+(+18-3q)
Remove unnecessary parentheses
+2q+6=+2+18-3q
We move all terms containing q to the left and all other terms to the right.
+2q+3q=+2+18-6
We simplify left and right side of the equation.
+5q=+14
We divide both sides of the equation by 5 to get q.
q=2.8
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