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Simplifying 5(2 + 10m) = 2(3 + 20m) (2 * 5 + 10m * 5) = 2(3 + 20m) (10 + 50m) = 2(3 + 20m) 10 + 50m = (3 * 2 + 20m * 2) 10 + 50m = (6 + 40m) Solving 10 + 50m = 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. 10 + 50m + -40m = 6 + 40m + -40m Combine like terms: 50m + -40m = 10m 10 + 10m = 6 + 40m + -40m Combine like terms: 40m + -40m = 0 10 + 10m = 6 + 0 10 + 10m = 6 Add '-10' to each side of the equation. 10 + -10 + 10m = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 10m = 6 + -10 10m = 6 + -10 Combine like terms: 6 + -10 = -4 10m = -4 Divide each side by '10'. m = -0.4 Simplifying m = -0.4
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