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Simplifying 2.4 + -1(m + -3) + 3.8 = -8.2 Reorder the terms: 2.4 + -1(-3 + m) + 3.8 = -8.2 2.4 + (-3 * -1 + m * -1) + 3.8 = -8.2 2.4 + (3 + -1m) + 3.8 = -8.2 Reorder the terms: 2.4 + 3 + 3.8 + -1m = -8.2 Combine like terms: 2.4 + 3 = 5.4 5.4 + 3.8 + -1m = -8.2 Combine like terms: 5.4 + 3.8 = 9.2 9.2 + -1m = -8.2 Solving 9.2 + -1m = -8.2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9.2' to each side of the equation. 9.2 + -9.2 + -1m = -8.2 + -9.2 Combine like terms: 9.2 + -9.2 = 0.0 0.0 + -1m = -8.2 + -9.2 -1m = -8.2 + -9.2 Combine like terms: -8.2 + -9.2 = -17.4 -1m = -17.4 Divide each side by '-1'. m = 17.4 Simplifying m = 17.4
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