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Simplifying 5(1 + 2m) = 12(8 + 20m) (1 * 5 + 2m * 5) = 12(8 + 20m) (5 + 10m) = 12(8 + 20m) 5 + 10m = (8 * 12 + 20m * 12) 5 + 10m = (96 + 240m) Solving 5 + 10m = 96 + 240m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-240m' to each side of the equation. 5 + 10m + -240m = 96 + 240m + -240m Combine like terms: 10m + -240m = -230m 5 + -230m = 96 + 240m + -240m Combine like terms: 240m + -240m = 0 5 + -230m = 96 + 0 5 + -230m = 96 Add '-5' to each side of the equation. 5 + -5 + -230m = 96 + -5 Combine like terms: 5 + -5 = 0 0 + -230m = 96 + -5 -230m = 96 + -5 Combine like terms: 96 + -5 = 91 -230m = 91 Divide each side by '-230'. m = -0.3956521739 Simplifying m = -0.3956521739
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