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Simplifying 4(1 + -2m) = -5(1 + m) (1 * 4 + -2m * 4) = -5(1 + m) (4 + -8m) = -5(1 + m) 4 + -8m = (1 * -5 + m * -5) 4 + -8m = (-5 + -5m) Solving 4 + -8m = -5 + -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. 4 + -8m + 5m = -5 + -5m + 5m Combine like terms: -8m + 5m = -3m 4 + -3m = -5 + -5m + 5m Combine like terms: -5m + 5m = 0 4 + -3m = -5 + 0 4 + -3m = -5 Add '-4' to each side of the equation. 4 + -4 + -3m = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -3m = -5 + -4 -3m = -5 + -4 Combine like terms: -5 + -4 = -9 -3m = -9 Divide each side by '-3'. m = 3 Simplifying m = 3
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