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Simplifying -2m + -4(1 + -5m) = 8m + -24 -2m + (1 * -4 + -5m * -4) = 8m + -24 -2m + (-4 + 20m) = 8m + -24 Reorder the terms: -4 + -2m + 20m = 8m + -24 Combine like terms: -2m + 20m = 18m -4 + 18m = 8m + -24 Reorder the terms: -4 + 18m = -24 + 8m Solving -4 + 18m = -24 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -4 + 18m + -8m = -24 + 8m + -8m Combine like terms: 18m + -8m = 10m -4 + 10m = -24 + 8m + -8m Combine like terms: 8m + -8m = 0 -4 + 10m = -24 + 0 -4 + 10m = -24 Add '4' to each side of the equation. -4 + 4 + 10m = -24 + 4 Combine like terms: -4 + 4 = 0 0 + 10m = -24 + 4 10m = -24 + 4 Combine like terms: -24 + 4 = -20 10m = -20 Divide each side by '10'. m = -2 Simplifying m = -2
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