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Simplifying -2(1 + -3m) = -5(m + -4) (1 * -2 + -3m * -2) = -5(m + -4) (-2 + 6m) = -5(m + -4) Reorder the terms: -2 + 6m = -5(-4 + m) -2 + 6m = (-4 * -5 + m * -5) -2 + 6m = (20 + -5m) Solving -2 + 6m = 20 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. -2 + 6m + 5m = 20 + -5m + 5m Combine like terms: 6m + 5m = 11m -2 + 11m = 20 + -5m + 5m Combine like terms: -5m + 5m = 0 -2 + 11m = 20 + 0 -2 + 11m = 20 Add '2' to each side of the equation. -2 + 2 + 11m = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 11m = 20 + 2 11m = 20 + 2 Combine like terms: 20 + 2 = 22 11m = 22 Divide each side by '11'. m = 2 Simplifying m = 2
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