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