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Simplifying 10(m + 0.15) = 20(m + 0.05) Reorder the terms: 10(0.15 + m) = 20(m + 0.05) (0.15 * 10 + m * 10) = 20(m + 0.05) (1.5 + 10m) = 20(m + 0.05) Reorder the terms: 1.5 + 10m = 20(0.05 + m) 1.5 + 10m = (0.05 * 20 + m * 20) 1.5 + 10m = (1 + 20m) Solving 1.5 + 10m = 1 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. 1.5 + 10m + -20m = 1 + 20m + -20m Combine like terms: 10m + -20m = -10m 1.5 + -10m = 1 + 20m + -20m Combine like terms: 20m + -20m = 0 1.5 + -10m = 1 + 0 1.5 + -10m = 1 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -10m = 1 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -10m = 1 + -1.5 -10m = 1 + -1.5 Combine like terms: 1 + -1.5 = -0.5 -10m = -0.5 Divide each side by '-10'. m = 0.05 Simplifying m = 0.05
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