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Simplifying 2.4(m + -2) + 3.8 = -8.2 Reorder the terms: 2.4(-2 + m) + 3.8 = -8.2 (-2 * 2.4 + m * 2.4) + 3.8 = -8.2 (-4.8 + 2.4m) + 3.8 = -8.2 Reorder the terms: -4.8 + 3.8 + 2.4m = -8.2 Combine like terms: -4.8 + 3.8 = -1 -1 + 2.4m = -8.2 Solving -1 + 2.4m = -8.2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2.4m = -8.2 + 1 Combine like terms: -1 + 1 = 0 0 + 2.4m = -8.2 + 1 2.4m = -8.2 + 1 Combine like terms: -8.2 + 1 = -7.2 2.4m = -7.2 Divide each side by '2.4'. m = -3 Simplifying m = -3
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