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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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