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3(m+1)-2(m-3)=2-4(m+2)
We simplify the equation to the form, which is simple to understand
3(m+1)-2(m-3)=2-4(m+2)
Reorder the terms in parentheses
+(+3m+3)-2*(m-3)=2-4*(m+2)
Remove unnecessary parentheses
+3m+3-2+*(+m-3+)=+2-4+*(+m+2+)
Reorder the terms in parentheses
+3m+3+(-2m+6)=2-4*(m+2)
Remove unnecessary parentheses
+3m+3-2m+6=+2-4+*(+m+2+)
Reorder the terms in parentheses
+3m+3-2m+6=2+(-4m-8)
Remove unnecessary parentheses
+3m+3-2m+6=+2-4m-8
We move all terms containing m to the left and all other terms to the right.
+3m-2m+4m=+2-8-3-6
We simplify left and right side of the equation.
+5m=-15
We divide both sides of the equation by 5 to get m.
m=-3
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