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Simplifying 5(1 + 2m) = 1 + -2(8 + 20m) (1 * 5 + 2m * 5) = 1 + -2(8 + 20m) (5 + 10m) = 1 + -2(8 + 20m) 5 + 10m = 1 + (8 * -2 + 20m * -2) 5 + 10m = 1 + (-16 + -40m) Combine like terms: 1 + -16 = -15 5 + 10m = -15 + -40m Solving 5 + 10m = -15 + -40m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '40m' to each side of the equation. 5 + 10m + 40m = -15 + -40m + 40m Combine like terms: 10m + 40m = 50m 5 + 50m = -15 + -40m + 40m Combine like terms: -40m + 40m = 0 5 + 50m = -15 + 0 5 + 50m = -15 Add '-5' to each side of the equation. 5 + -5 + 50m = -15 + -5 Combine like terms: 5 + -5 = 0 0 + 50m = -15 + -5 50m = -15 + -5 Combine like terms: -15 + -5 = -20 50m = -20 Divide each side by '50'. m = -0.4 Simplifying m = -0.4
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