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Simplifying 5(1.9 + 10m) = 2(2.8 + 20m) (1.9 * 5 + 10m * 5) = 2(2.8 + 20m) (9.5 + 50m) = 2(2.8 + 20m) 9.5 + 50m = (2.8 * 2 + 20m * 2) 9.5 + 50m = (5.6 + 40m) Solving 9.5 + 50m = 5.6 + 40m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-40m' to each side of the equation. 9.5 + 50m + -40m = 5.6 + 40m + -40m Combine like terms: 50m + -40m = 10m 9.5 + 10m = 5.6 + 40m + -40m Combine like terms: 40m + -40m = 0 9.5 + 10m = 5.6 + 0 9.5 + 10m = 5.6 Add '-9.5' to each side of the equation. 9.5 + -9.5 + 10m = 5.6 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + 10m = 5.6 + -9.5 10m = 5.6 + -9.5 Combine like terms: 5.6 + -9.5 = -3.9 10m = -3.9 Divide each side by '10'. m = -0.39 Simplifying m = -0.39
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