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Simplifying 90.9 = 9(m + 3.4) Reorder the terms: 90.9 = 9(3.4 + m) 90.9 = (3.4 * 9 + m * 9) 90.9 = (30.6 + 9m) Solving 90.9 = 30.6 + 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. 90.9 + -9m = 30.6 + 9m + -9m Combine like terms: 9m + -9m = 0 90.9 + -9m = 30.6 + 0 90.9 + -9m = 30.6 Add '-90.9' to each side of the equation. 90.9 + -90.9 + -9m = 30.6 + -90.9 Combine like terms: 90.9 + -90.9 = 0.0 0.0 + -9m = 30.6 + -90.9 -9m = 30.6 + -90.9 Combine like terms: 30.6 + -90.9 = -60.3 -9m = -60.3 Divide each side by '-9'. m = 6.7 Simplifying m = 6.7
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