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Simplifying 100.8 = 9(m + 3.1) Reorder the terms: 100.8 = 9(3.1 + m) 100.8 = (3.1 * 9 + m * 9) 100.8 = (27.9 + 9m) Solving 100.8 = 27.9 + 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. 100.8 + -9m = 27.9 + 9m + -9m Combine like terms: 9m + -9m = 0 100.8 + -9m = 27.9 + 0 100.8 + -9m = 27.9 Add '-100.8' to each side of the equation. 100.8 + -100.8 + -9m = 27.9 + -100.8 Combine like terms: 100.8 + -100.8 = 0.0 0.0 + -9m = 27.9 + -100.8 -9m = 27.9 + -100.8 Combine like terms: 27.9 + -100.8 = -72.9 -9m = -72.9 Divide each side by '-9'. m = 8.1 Simplifying m = 8.1
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