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Simplifying 96.3 = 9(m + 3.4) Reorder the terms: 96.3 = 9(3.4 + m) 96.3 = (3.4 * 9 + m * 9) 96.3 = (30.6 + 9m) Solving 96.3 = 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. 96.3 + -9m = 30.6 + 9m + -9m Combine like terms: 9m + -9m = 0 96.3 + -9m = 30.6 + 0 96.3 + -9m = 30.6 Add '-96.3' to each side of the equation. 96.3 + -96.3 + -9m = 30.6 + -96.3 Combine like terms: 96.3 + -96.3 = 0.0 0.0 + -9m = 30.6 + -96.3 -9m = 30.6 + -96.3 Combine like terms: 30.6 + -96.3 = -65.7 -9m = -65.7 Divide each side by '-9'. m = 7.3 Simplifying m = 7.3
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