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Simplifying -7.6n + 5.8(1 + -3.9n) = -6.2n + 2.4(5.8n + 0.3) -7.6n + (1 * 5.8 + -3.9n * 5.8) = -6.2n + 2.4(5.8n + 0.3) -7.6n + (5.8 + -22.62n) = -6.2n + 2.4(5.8n + 0.3) Reorder the terms: 5.8 + -7.6n + -22.62n = -6.2n + 2.4(5.8n + 0.3) Combine like terms: -7.6n + -22.62n = -30.22n 5.8 + -30.22n = -6.2n + 2.4(5.8n + 0.3) Reorder the terms: 5.8 + -30.22n = -6.2n + 2.4(0.3 + 5.8n) 5.8 + -30.22n = -6.2n + (0.3 * 2.4 + 5.8n * 2.4) 5.8 + -30.22n = -6.2n + (0.72 + 13.92n) Reorder the terms: 5.8 + -30.22n = 0.72 + -6.2n + 13.92n Combine like terms: -6.2n + 13.92n = 7.72n 5.8 + -30.22n = 0.72 + 7.72n Solving 5.8 + -30.22n = 0.72 + 7.72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7.72n' to each side of the equation. 5.8 + -30.22n + -7.72n = 0.72 + 7.72n + -7.72n Combine like terms: -30.22n + -7.72n = -37.94n 5.8 + -37.94n = 0.72 + 7.72n + -7.72n Combine like terms: 7.72n + -7.72n = 0.00 5.8 + -37.94n = 0.72 + 0.00 5.8 + -37.94n = 0.72 Add '-5.8' to each side of the equation. 5.8 + -5.8 + -37.94n = 0.72 + -5.8 Combine like terms: 5.8 + -5.8 = 0.0 0.0 + -37.94n = 0.72 + -5.8 -37.94n = 0.72 + -5.8 Combine like terms: 0.72 + -5.8 = -5.08 -37.94n = -5.08 Divide each side by '-37.94'. n = 0.1338956247 Simplifying n = 0.1338956247
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