40=-2(22-m)+4(m-3)

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Solution for 40=-2(22-m)+4(m-3) equation: 


Simplifying
40 = -2(22 + -1m) + 4(m + -3)
40 = (22 * -2 + -1m * -2) + 4(m + -3)
40 = (-44 + 2m) + 4(m + -3)

Reorder the terms:
40 = -44 + 2m + 4(-3 + m)
40 = -44 + 2m + (-3 * 4 + m * 4)
40 = -44 + 2m + (-12 + 4m)

Reorder the terms:
40 = -44 + -12 + 2m + 4m

Combine like terms: -44 + -12 = -56
40 = -56 + 2m + 4m

Combine like terms: 2m + 4m = 6m
40 = -56 + 6m

Solving
40 = -56 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
40 + -6m = -56 + 6m + -6m

Combine like terms: 6m + -6m = 0
40 + -6m = -56 + 0
40 + -6m = -56

Add '-40' to each side of the equation.
40 + -40 + -6m = -56 + -40

Combine like terms: 40 + -40 = 0
0 + -6m = -56 + -40
-6m = -56 + -40

Combine like terms: -56 + -40 = -96
-6m = -96

Divide each side by '-6'.
m = 16

Simplifying
m = 16

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