40+2m=-8-3(3m-5)

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Solution for 40+2m=-8-3(3m-5) equation:


Simplifying
40 + 2m = -8 + -3(3m + -5)

Reorder the terms:
40 + 2m = -8 + -3(-5 + 3m)
40 + 2m = -8 + (-5 * -3 + 3m * -3)
40 + 2m = -8 + (15 + -9m)

Combine like terms: -8 + 15 = 7
40 + 2m = 7 + -9m

Solving
40 + 2m = 7 + -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.
40 + 2m + 9m = 7 + -9m + 9m

Combine like terms: 2m + 9m = 11m
40 + 11m = 7 + -9m + 9m

Combine like terms: -9m + 9m = 0
40 + 11m = 7 + 0
40 + 11m = 7

Add '-40' to each side of the equation.
40 + -40 + 11m = 7 + -40

Combine like terms: 40 + -40 = 0
0 + 11m = 7 + -40
11m = 7 + -40

Combine like terms: 7 + -40 = -33
11m = -33

Divide each side by '11'.
m = -3

Simplifying
m = -3

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