5m-8+4m=5+(3m+13)

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Solution for 5m-8+4m=5+(3m+13) equation:


Simplifying
5m + -8 + 4m = 5 + (3m + 13)

Reorder the terms:
-8 + 5m + 4m = 5 + (3m + 13)

Combine like terms: 5m + 4m = 9m
-8 + 9m = 5 + (3m + 13)

Reorder the terms:
-8 + 9m = 5 + (13 + 3m)

Remove parenthesis around (13 + 3m)
-8 + 9m = 5 + 13 + 3m

Combine like terms: 5 + 13 = 18
-8 + 9m = 18 + 3m

Solving
-8 + 9m = 18 + 3m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-3m' to each side of the equation.
-8 + 9m + -3m = 18 + 3m + -3m

Combine like terms: 9m + -3m = 6m
-8 + 6m = 18 + 3m + -3m

Combine like terms: 3m + -3m = 0
-8 + 6m = 18 + 0
-8 + 6m = 18

Add '8' to each side of the equation.
-8 + 8 + 6m = 18 + 8

Combine like terms: -8 + 8 = 0
0 + 6m = 18 + 8
6m = 18 + 8

Combine like terms: 18 + 8 = 26
6m = 26

Divide each side by '6'.
m = 4.333333333

Simplifying
m = 4.333333333

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