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Simplifying 101.7 = 9(m + 31) Reorder the terms: 101.7 = 9(31 + m) 101.7 = (31 * 9 + m * 9) 101.7 = (279 + 9m) Solving 101.7 = 279 + 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. 101.7 + -9m = 279 + 9m + -9m Combine like terms: 9m + -9m = 0 101.7 + -9m = 279 + 0 101.7 + -9m = 279 Add '-101.7' to each side of the equation. 101.7 + -101.7 + -9m = 279 + -101.7 Combine like terms: 101.7 + -101.7 = 0.0 0.0 + -9m = 279 + -101.7 -9m = 279 + -101.7 Combine like terms: 279 + -101.7 = 177.3 -9m = 177.3 Divide each side by '-9'. m = -19.7 Simplifying m = -19.7
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