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Simplifying 2.4 + (m + -3) + 3.8 = -8.2 Reorder the terms: 2.4 + (-3 + m) + 3.8 = -8.2 Remove parenthesis around (-3 + m) 2.4 + -3 + m + 3.8 = -8.2 Reorder the terms: 2.4 + -3 + 3.8 + m = -8.2 Combine like terms: 2.4 + -3 = -0.6 -0.6 + 3.8 + m = -8.2 Combine like terms: -0.6 + 3.8 = 3.2 3.2 + m = -8.2 Solving 3.2 + m = -8.2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3.2' to each side of the equation. 3.2 + -3.2 + m = -8.2 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + m = -8.2 + -3.2 m = -8.2 + -3.2 Combine like terms: -8.2 + -3.2 = -11.4 m = -11.4 Simplifying m = -11.4
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