48=-2(24-m)+4(m-3)

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Solution for 48=-2(24-m)+4(m-3) equation:


Simplifying
48 = -2(24 + -1m) + 4(m + -3)
48 = (24 * -2 + -1m * -2) + 4(m + -3)
48 = (-48 + 2m) + 4(m + -3)

Reorder the terms:
48 = -48 + 2m + 4(-3 + m)
48 = -48 + 2m + (-3 * 4 + m * 4)
48 = -48 + 2m + (-12 + 4m)

Reorder the terms:
48 = -48 + -12 + 2m + 4m

Combine like terms: -48 + -12 = -60
48 = -60 + 2m + 4m

Combine like terms: 2m + 4m = 6m
48 = -60 + 6m

Solving
48 = -60 + 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.
48 + -6m = -60 + 6m + -6m

Combine like terms: 6m + -6m = 0
48 + -6m = -60 + 0
48 + -6m = -60

Add '-48' to each side of the equation.
48 + -48 + -6m = -60 + -48

Combine like terms: 48 + -48 = 0
0 + -6m = -60 + -48
-6m = -60 + -48

Combine like terms: -60 + -48 = -108
-6m = -108

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

Simplifying
m = 18

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