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2(q-5)+6=7(q-1)-2(q-6)
We simplify the equation to the form, which is simple to understand
2(q-5)+6=7(q-1)-2(q-6)
Reorder the terms in parentheses
+(+2q-10)+6=7*(q-1)-2*(q-6)
Remove unnecessary parentheses
+2q-10+6=+7+*(+q-1+)-2+*(+q-6+)
Reorder the terms in parentheses
+2q-10+6=+(+7q-7)-2*(q-6)
Remove unnecessary parentheses
+2q-10+6=+7q-7-2+*(+q-6+)
Reorder the terms in parentheses
+2q-10+6=+7q-7+(-2q+12)
Remove unnecessary parentheses
+2q-10+6=+7q-7-2q+12
We move all terms containing q to the left and all other terms to the right.
+2q-7q+2q=-7+12+10-6
We simplify left and right side of the equation.
-3q=+9
We divide both sides of the equation by -3 to get q.
q=-3
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