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