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Simplifying 5(1 + 2m) = 0.5(8 + 2m) (1 * 5 + 2m * 5) = 0.5(8 + 2m) (5 + 10m) = 0.5(8 + 2m) 5 + 10m = (8 * 0.5 + 2m * 0.5) 5 + 10m = (4 + 1m) Solving 5 + 10m = 4 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 5 + 10m + -1m = 4 + 1m + -1m Combine like terms: 10m + -1m = 9m 5 + 9m = 4 + 1m + -1m Combine like terms: 1m + -1m = 0 5 + 9m = 4 + 0 5 + 9m = 4 Add '-5' to each side of the equation. 5 + -5 + 9m = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 9m = 4 + -5 9m = 4 + -5 Combine like terms: 4 + -5 = -1 9m = -1 Divide each side by '9'. m = -0.1111111111 Simplifying m = -0.1111111111
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