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Simplifying 7.4(m + -3) + 3.8 = -8.2 Reorder the terms: 7.4(-3 + m) + 3.8 = -8.2 (-3 * 7.4 + m * 7.4) + 3.8 = -8.2 (-22.2 + 7.4m) + 3.8 = -8.2 Reorder the terms: -22.2 + 3.8 + 7.4m = -8.2 Combine like terms: -22.2 + 3.8 = -18.4 -18.4 + 7.4m = -8.2 Solving -18.4 + 7.4m = -8.2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18.4' to each side of the equation. -18.4 + 18.4 + 7.4m = -8.2 + 18.4 Combine like terms: -18.4 + 18.4 = 0.0 0.0 + 7.4m = -8.2 + 18.4 7.4m = -8.2 + 18.4 Combine like terms: -8.2 + 18.4 = 10.2 7.4m = 10.2 Divide each side by '7.4'. m = 1.378378378 Simplifying m = 1.378378378
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