5(m+4)-2m=4m+5m-4

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Solution for 5(m+4)-2m=4m+5m-4 equation:


Simplifying
5(m + 4) + -2m = 4m + 5m + -4

Reorder the terms:
5(4 + m) + -2m = 4m + 5m + -4
(4 * 5 + m * 5) + -2m = 4m + 5m + -4
(20 + 5m) + -2m = 4m + 5m + -4

Combine like terms: 5m + -2m = 3m
20 + 3m = 4m + 5m + -4

Reorder the terms:
20 + 3m = -4 + 4m + 5m

Combine like terms: 4m + 5m = 9m
20 + 3m = -4 + 9m

Solving
20 + 3m = -4 + 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
20 + 3m + -9m = -4 + 9m + -9m

Combine like terms: 3m + -9m = -6m
20 + -6m = -4 + 9m + -9m

Combine like terms: 9m + -9m = 0
20 + -6m = -4 + 0
20 + -6m = -4

Add '-20' to each side of the equation.
20 + -20 + -6m = -4 + -20

Combine like terms: 20 + -20 = 0
0 + -6m = -4 + -20
-6m = -4 + -20

Combine like terms: -4 + -20 = -24
-6m = -24

Divide each side by '-6'.
m = 4

Simplifying
m = 4

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