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5(2m+3)-3m=-2(4m+1)-13
We simplify the equation to the form, which is simple to understand
5(2m+3)-3m=-2(4m+1)-13
Reorder the terms in parentheses
+(+10m+15)-3m=-2*(4m+1)-13
Remove unnecessary parentheses
+10m+15-3m=-2+*(+4m+1+)-13
Reorder the terms in parentheses
+10m+15-3m=+(-8m-2)-13
Remove unnecessary parentheses
+10m+15-3m=-8m-2-13
We move all terms containing m to the left and all other terms to the right.
+10m-3m+8m=-2-13-15
We simplify left and right side of the equation.
+15m=-30
We divide both sides of the equation by 15 to get m.
m=-2
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