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Simplifying 5(1 + 2m) = 5(8 + 20m) (1 * 5 + 2m * 5) = 5(8 + 20m) (5 + 10m) = 5(8 + 20m) 5 + 10m = (8 * 5 + 20m * 5) 5 + 10m = (40 + 100m) Solving 5 + 10m = 40 + 100m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-100m' to each side of the equation. 5 + 10m + -100m = 40 + 100m + -100m Combine like terms: 10m + -100m = -90m 5 + -90m = 40 + 100m + -100m Combine like terms: 100m + -100m = 0 5 + -90m = 40 + 0 5 + -90m = 40 Add '-5' to each side of the equation. 5 + -5 + -90m = 40 + -5 Combine like terms: 5 + -5 = 0 0 + -90m = 40 + -5 -90m = 40 + -5 Combine like terms: 40 + -5 = 35 -90m = 35 Divide each side by '-90'. m = -0.3888888889 Simplifying m = -0.3888888889
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