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Simplifying 0.4(m + -3) + 3.8 = -8.2 Reorder the terms: 0.4(-3 + m) + 3.8 = -8.2 (-3 * 0.4 + m * 0.4) + 3.8 = -8.2 (-1.2 + 0.4m) + 3.8 = -8.2 Reorder the terms: -1.2 + 3.8 + 0.4m = -8.2 Combine like terms: -1.2 + 3.8 = 2.6 2.6 + 0.4m = -8.2 Solving 2.6 + 0.4m = -8.2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2.6' to each side of the equation. 2.6 + -2.6 + 0.4m = -8.2 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + 0.4m = -8.2 + -2.6 0.4m = -8.2 + -2.6 Combine like terms: -8.2 + -2.6 = -10.8 0.4m = -10.8 Divide each side by '0.4'. m = -27 Simplifying m = -27
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