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Simplifying 0.05m + 20 + 20 = 0.10(m + -100) + 15 + 20 Reorder the terms: 20 + 20 + 0.05m = 0.10(m + -100) + 15 + 20 Combine like terms: 20 + 20 = 40 40 + 0.05m = 0.10(m + -100) + 15 + 20 Reorder the terms: 40 + 0.05m = 0.10(-100 + m) + 15 + 20 40 + 0.05m = (-100 * 0.10 + m * 0.10) + 15 + 20 40 + 0.05m = (-10 + 0.10m) + 15 + 20 Reorder the terms: 40 + 0.05m = -10 + 15 + 20 + 0.10m Combine like terms: -10 + 15 = 5 40 + 0.05m = 5 + 20 + 0.10m Combine like terms: 5 + 20 = 25 40 + 0.05m = 25 + 0.10m Solving 40 + 0.05m = 25 + 0.10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.10m' to each side of the equation. 40 + 0.05m + -0.10m = 25 + 0.10m + -0.10m Combine like terms: 0.05m + -0.10m = -0.05m 40 + -0.05m = 25 + 0.10m + -0.10m Combine like terms: 0.10m + -0.10m = 0.00 40 + -0.05m = 25 + 0.00 40 + -0.05m = 25 Add '-40' to each side of the equation. 40 + -40 + -0.05m = 25 + -40 Combine like terms: 40 + -40 = 0 0 + -0.05m = 25 + -40 -0.05m = 25 + -40 Combine like terms: 25 + -40 = -15 -0.05m = -15 Divide each side by '-0.05'. m = 300 Simplifying m = 300
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