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Simplifying 5(1 + 4m) = 2(3 + 5m) (1 * 5 + 4m * 5) = 2(3 + 5m) (5 + 20m) = 2(3 + 5m) 5 + 20m = (3 * 2 + 5m * 2) 5 + 20m = (6 + 10m) Solving 5 + 20m = 6 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 5 + 20m + -10m = 6 + 10m + -10m Combine like terms: 20m + -10m = 10m 5 + 10m = 6 + 10m + -10m Combine like terms: 10m + -10m = 0 5 + 10m = 6 + 0 5 + 10m = 6 Add '-5' to each side of the equation. 5 + -5 + 10m = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 10m = 6 + -5 10m = 6 + -5 Combine like terms: 6 + -5 = 1 10m = 1 Divide each side by '10'. m = 0.1 Simplifying m = 0.1
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