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Simplifying 85.5 = 9(m + 2.4) Reorder the terms: 85.5 = 9(2.4 + m) 85.5 = (2.4 * 9 + m * 9) 85.5 = (21.6 + 9m) Solving 85.5 = 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. 85.5 + -9m = 21.6 + 9m + -9m Combine like terms: 9m + -9m = 0 85.5 + -9m = 21.6 + 0 85.5 + -9m = 21.6 Add '-85.5' to each side of the equation. 85.5 + -85.5 + -9m = 21.6 + -85.5 Combine like terms: 85.5 + -85.5 = 0.0 0.0 + -9m = 21.6 + -85.5 -9m = 21.6 + -85.5 Combine like terms: 21.6 + -85.5 = -63.9 -9m = -63.9 Divide each side by '-9'. m = 7.1 Simplifying m = 7.1
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