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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 = -3.4 -3.4 + 2.4m = -8.2 Solving -3.4 + 2.4m = -8.2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3.4' to each side of the equation. -3.4 + 3.4 + 2.4m = -8.2 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + 2.4m = -8.2 + 3.4 2.4m = -8.2 + 3.4 Combine like terms: -8.2 + 3.4 = -4.8 2.4m = -4.8 Divide each side by '2.4'. m = -2 Simplifying m = -2
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