50=-2(21-m)+4(m-4)

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Solution for 50=-2(21-m)+4(m-4) equation:


Simplifying
50 = -2(21 + -1m) + 4(m + -4)
50 = (21 * -2 + -1m * -2) + 4(m + -4)
50 = (-42 + 2m) + 4(m + -4)

Reorder the terms:
50 = -42 + 2m + 4(-4 + m)
50 = -42 + 2m + (-4 * 4 + m * 4)
50 = -42 + 2m + (-16 + 4m)

Reorder the terms:
50 = -42 + -16 + 2m + 4m

Combine like terms: -42 + -16 = -58
50 = -58 + 2m + 4m

Combine like terms: 2m + 4m = 6m
50 = -58 + 6m

Solving
50 = -58 + 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.
50 + -6m = -58 + 6m + -6m

Combine like terms: 6m + -6m = 0
50 + -6m = -58 + 0
50 + -6m = -58

Add '-50' to each side of the equation.
50 + -50 + -6m = -58 + -50

Combine like terms: 50 + -50 = 0
0 + -6m = -58 + -50
-6m = -58 + -50

Combine like terms: -58 + -50 = -108
-6m = -108

Divide each side by '-6'.
m = 18

Simplifying
m = 18

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