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Simplifying 5(1 + 4m) = 2(3 + 20m) (1 * 5 + 4m * 5) = 2(3 + 20m) (5 + 20m) = 2(3 + 20m) 5 + 20m = (3 * 2 + 20m * 2) 5 + 20m = (6 + 40m) Solving 5 + 20m = 6 + 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 + 20m + -40m = 6 + 40m + -40m Combine like terms: 20m + -40m = -20m 5 + -20m = 6 + 40m + -40m Combine like terms: 40m + -40m = 0 5 + -20m = 6 + 0 5 + -20m = 6 Add '-5' to each side of the equation. 5 + -5 + -20m = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -20m = 6 + -5 -20m = 6 + -5 Combine like terms: 6 + -5 = 1 -20m = 1 Divide each side by '-20'. m = -0.05 Simplifying m = -0.05
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