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6(m-4)-2(m+2)=7(m-4)-6
We simplify the equation to the form, which is simple to understand
6(m-4)-2(m+2)=7(m-4)-6
Reorder the terms in parentheses
+(+6m-24)-2*(m+2)=7*(m-4)-6
Remove unnecessary parentheses
+6m-24-2+*(+m+2+)=+7+*(+m-4+)-6
Reorder the terms in parentheses
+6m-24+(-2m-4)=7*(m-4)-6
Remove unnecessary parentheses
+6m-24-2m-4=+7+*(+m-4+)-6
Reorder the terms in parentheses
+6m-24-2m-4=+(+7m-28)-6
Remove unnecessary parentheses
+6m-24-2m-4=+7m-28-6
We move all terms containing m to the left and all other terms to the right.
+6m-2m-7m=-28-6+24+4
We simplify left and right side of the equation.
-3m=-6
We divide both sides of the equation by -3 to get m.
m=2
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