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Simplifying 5(1 + 2m) = 1.5(7 + 20m) (1 * 5 + 2m * 5) = 1.5(7 + 20m) (5 + 10m) = 1.5(7 + 20m) 5 + 10m = (7 * 1.5 + 20m * 1.5) 5 + 10m = (10.5 + 30m) Solving 5 + 10m = 10.5 + 30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30m' to each side of the equation. 5 + 10m + -30m = 10.5 + 30m + -30m Combine like terms: 10m + -30m = -20m 5 + -20m = 10.5 + 30m + -30m Combine like terms: 30m + -30m = 0 5 + -20m = 10.5 + 0 5 + -20m = 10.5 Add '-5' to each side of the equation. 5 + -5 + -20m = 10.5 + -5 Combine like terms: 5 + -5 = 0 0 + -20m = 10.5 + -5 -20m = 10.5 + -5 Combine like terms: 10.5 + -5 = 5.5 -20m = 5.5 Divide each side by '-20'. m = -0.275 Simplifying m = -0.275
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