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Simplifying 6(m + -4) = -3(-1m + -9) Reorder the terms: 6(-4 + m) = -3(-1m + -9) (-4 * 6 + m * 6) = -3(-1m + -9) (-24 + 6m) = -3(-1m + -9) Reorder the terms: -24 + 6m = -3(-9 + -1m) -24 + 6m = (-9 * -3 + -1m * -3) -24 + 6m = (27 + 3m) Solving -24 + 6m = 27 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -24 + 6m + -3m = 27 + 3m + -3m Combine like terms: 6m + -3m = 3m -24 + 3m = 27 + 3m + -3m Combine like terms: 3m + -3m = 0 -24 + 3m = 27 + 0 -24 + 3m = 27 Add '24' to each side of the equation. -24 + 24 + 3m = 27 + 24 Combine like terms: -24 + 24 = 0 0 + 3m = 27 + 24 3m = 27 + 24 Combine like terms: 27 + 24 = 51 3m = 51 Divide each side by '3'. m = 17 Simplifying m = 17
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