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Simplifying 2.4(m + -3) + 2.8 = 8.2 Reorder the terms: 2.4(-3 + m) + 2.8 = 8.2 (-3 * 2.4 + m * 2.4) + 2.8 = 8.2 (-7.2 + 2.4m) + 2.8 = 8.2 Reorder the terms: -7.2 + 2.8 + 2.4m = 8.2 Combine like terms: -7.2 + 2.8 = -4.4 -4.4 + 2.4m = 8.2 Solving -4.4 + 2.4m = 8.2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4.4' to each side of the equation. -4.4 + 4.4 + 2.4m = 8.2 + 4.4 Combine like terms: -4.4 + 4.4 = 0.0 0.0 + 2.4m = 8.2 + 4.4 2.4m = 8.2 + 4.4 Combine like terms: 8.2 + 4.4 = 12.6 2.4m = 12.6 Divide each side by '2.4'. m = 5.25 Simplifying m = 5.25
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