5m-(m-4)=40-2m

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Solution for 5m-(m-4)=40-2m equation: 


Simplifying
5m + -1(m + -4) = 40 + -2m

Reorder the terms:
5m + -1(-4 + m) = 40 + -2m
5m + (-4 * -1 + m * -1) = 40 + -2m
5m + (4 + -1m) = 40 + -2m

Reorder the terms:
4 + 5m + -1m = 40 + -2m

Combine like terms: 5m + -1m = 4m
4 + 4m = 40 + -2m

Solving
4 + 4m = 40 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
4 + 4m + 2m = 40 + -2m + 2m

Combine like terms: 4m + 2m = 6m
4 + 6m = 40 + -2m + 2m

Combine like terms: -2m + 2m = 0
4 + 6m = 40 + 0
4 + 6m = 40

Add '-4' to each side of the equation.
4 + -4 + 6m = 40 + -4

Combine like terms: 4 + -4 = 0
0 + 6m = 40 + -4
6m = 40 + -4

Combine like terms: 40 + -4 = 36
6m = 36

Divide each side by '6'.
m = 6

Simplifying
m = 6

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