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Simplifying 2.4(m + -4) + 3.8 = -8.2 Reorder the terms: 2.4(-4 + m) + 3.8 = -8.2 (-4 * 2.4 + m * 2.4) + 3.8 = -8.2 (-9.6 + 2.4m) + 3.8 = -8.2 Reorder the terms: -9.6 + 3.8 + 2.4m = -8.2 Combine like terms: -9.6 + 3.8 = -5.8 -5.8 + 2.4m = -8.2 Solving -5.8 + 2.4m = -8.2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5.8' to each side of the equation. -5.8 + 5.8 + 2.4m = -8.2 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + 2.4m = -8.2 + 5.8 2.4m = -8.2 + 5.8 Combine like terms: -8.2 + 5.8 = -2.4 2.4m = -2.4 Divide each side by '2.4'. m = -1 Simplifying m = -1
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