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Simplifying 273.96 = 9(0.05m + 24.90 + 0.10(24.90)) Multiply 0.10 * 24.90 273.96 = 9(0.05m + 24.90 + 2.49) Reorder the terms: 273.96 = 9(24.90 + 2.49 + 0.05m) Combine like terms: 24.90 + 2.49 = 27.39 273.96 = 9(27.39 + 0.05m) 273.96 = (27.39 * 9 + 0.05m * 9) 273.96 = (246.51 + 0.45m) Solving 273.96 = 246.51 + 0.45m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.45m' to each side of the equation. 273.96 + -0.45m = 246.51 + 0.45m + -0.45m Combine like terms: 0.45m + -0.45m = 0.00 273.96 + -0.45m = 246.51 + 0.00 273.96 + -0.45m = 246.51 Add '-273.96' to each side of the equation. 273.96 + -273.96 + -0.45m = 246.51 + -273.96 Combine like terms: 273.96 + -273.96 = 0.00 0.00 + -0.45m = 246.51 + -273.96 -0.45m = 246.51 + -273.96 Combine like terms: 246.51 + -273.96 = -27.45 -0.45m = -27.45 Divide each side by '-0.45'. m = 61 Simplifying m = 61
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