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Simplifying 2.4(m + 3) + 3.8 = 8.2 Reorder the terms: 2.4(3 + m) + 3.8 = 8.2 (3 * 2.4 + m * 2.4) + 3.8 = 8.2 (7.2 + 2.4m) + 3.8 = 8.2 Reorder the terms: 7.2 + 3.8 + 2.4m = 8.2 Combine like terms: 7.2 + 3.8 = 11 11 + 2.4m = 8.2 Solving 11 + 2.4m = 8.2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2.4m = 8.2 + -11 Combine like terms: 11 + -11 = 0 0 + 2.4m = 8.2 + -11 2.4m = 8.2 + -11 Combine like terms: 8.2 + -11 = -2.8 2.4m = -2.8 Divide each side by '2.4'. m = -1.166666667 Simplifying m = -1.166666667
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