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Simplifying 5(1 + 2m) = (8 + 2m) (1 * 5 + 2m * 5) = (8 + 2m) (5 + 10m) = (8 + 2m) Remove parenthesis around (8 + 2m) 5 + 10m = 8 + 2m Solving 5 + 10m = 8 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 5 + 10m + -2m = 8 + 2m + -2m Combine like terms: 10m + -2m = 8m 5 + 8m = 8 + 2m + -2m Combine like terms: 2m + -2m = 0 5 + 8m = 8 + 0 5 + 8m = 8 Add '-5' to each side of the equation. 5 + -5 + 8m = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 8m = 8 + -5 8m = 8 + -5 Combine like terms: 8 + -5 = 3 8m = 3 Divide each side by '8'. m = 0.375 Simplifying m = 0.375
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