2m+40=5-(13m-5)

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Solution for 2m+40=5-(13m-5) equation: 


Simplifying
2m + 40 = 5 + -1(13m + -5)

Reorder the terms:
40 + 2m = 5 + -1(13m + -5)

Reorder the terms:
40 + 2m = 5 + -1(-5 + 13m)
40 + 2m = 5 + (-5 * -1 + 13m * -1)
40 + 2m = 5 + (5 + -13m)

Combine like terms: 5 + 5 = 10
40 + 2m = 10 + -13m

Solving
40 + 2m = 10 + -13m

Solving for variable 'm'.

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

Add '13m' to each side of the equation.
40 + 2m + 13m = 10 + -13m + 13m

Combine like terms: 2m + 13m = 15m
40 + 15m = 10 + -13m + 13m

Combine like terms: -13m + 13m = 0
40 + 15m = 10 + 0
40 + 15m = 10

Add '-40' to each side of the equation.
40 + -40 + 15m = 10 + -40

Combine like terms: 40 + -40 = 0
0 + 15m = 10 + -40
15m = 10 + -40

Combine like terms: 10 + -40 = -30
15m = -30

Divide each side by '15'.
m = -2

Simplifying
m = -2

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