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Simplifying 3[5m + -1(m + 4)] = -4(m + -6) Reorder the terms: 3[5m + -1(4 + m)] = -4(m + -6) 3[5m + (4 * -1 + m * -1)] = -4(m + -6) 3[5m + (-4 + -1m)] = -4(m + -6) Reorder the terms: 3[-4 + 5m + -1m] = -4(m + -6) Combine like terms: 5m + -1m = 4m 3[-4 + 4m] = -4(m + -6) [-4 * 3 + 4m * 3] = -4(m + -6) [-12 + 12m] = -4(m + -6) Reorder the terms: -12 + 12m = -4(-6 + m) -12 + 12m = (-6 * -4 + m * -4) -12 + 12m = (24 + -4m) Solving -12 + 12m = 24 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. -12 + 12m + 4m = 24 + -4m + 4m Combine like terms: 12m + 4m = 16m -12 + 16m = 24 + -4m + 4m Combine like terms: -4m + 4m = 0 -12 + 16m = 24 + 0 -12 + 16m = 24 Add '12' to each side of the equation. -12 + 12 + 16m = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 16m = 24 + 12 16m = 24 + 12 Combine like terms: 24 + 12 = 36 16m = 36 Divide each side by '16'. m = 2.25 Simplifying m = 2.25
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