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Simplifying 99.9 = 9(m + 2.4) Reorder the terms: 99.9 = 9(2.4 + m) 99.9 = (2.4 * 9 + m * 9) 99.9 = (21.6 + 9m) Solving 99.9 = 21.6 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 99.9 + -9m = 21.6 + 9m + -9m Combine like terms: 9m + -9m = 0 99.9 + -9m = 21.6 + 0 99.9 + -9m = 21.6 Add '-99.9' to each side of the equation. 99.9 + -99.9 + -9m = 21.6 + -99.9 Combine like terms: 99.9 + -99.9 = 0.0 0.0 + -9m = 21.6 + -99.9 -9m = 21.6 + -99.9 Combine like terms: 21.6 + -99.9 = -78.3 -9m = -78.3 Divide each side by '-9'. m = 8.7 Simplifying m = 8.7
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