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Simplifying 78.3 = 9(m + 2.6) Reorder the terms: 78.3 = 9(2.6 + m) 78.3 = (2.6 * 9 + m * 9) 78.3 = (23.4 + 9m) Solving 78.3 = 23.4 + 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. 78.3 + -9m = 23.4 + 9m + -9m Combine like terms: 9m + -9m = 0 78.3 + -9m = 23.4 + 0 78.3 + -9m = 23.4 Add '-78.3' to each side of the equation. 78.3 + -78.3 + -9m = 23.4 + -78.3 Combine like terms: 78.3 + -78.3 = 0.0 0.0 + -9m = 23.4 + -78.3 -9m = 23.4 + -78.3 Combine like terms: 23.4 + -78.3 = -54.9 -9m = -54.9 Divide each side by '-9'. m = 6.1 Simplifying m = 6.1
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