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Simplifying (3n + 6) * 3 + (2n + 2) * 4 = 0 Reorder the terms: (6 + 3n) * 3 + (2n + 2) * 4 = 0 Reorder the terms for easier multiplication: 3(6 + 3n) + (2n + 2) * 4 = 0 (6 * 3 + 3n * 3) + (2n + 2) * 4 = 0 (18 + 9n) + (2n + 2) * 4 = 0 Reorder the terms: 18 + 9n + (2 + 2n) * 4 = 0 Reorder the terms for easier multiplication: 18 + 9n + 4(2 + 2n) = 0 18 + 9n + (2 * 4 + 2n * 4) = 0 18 + 9n + (8 + 8n) = 0 Reorder the terms: 18 + 8 + 9n + 8n = 0 Combine like terms: 18 + 8 = 26 26 + 9n + 8n = 0 Combine like terms: 9n + 8n = 17n 26 + 17n = 0 Solving 26 + 17n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 17n = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 17n = 0 + -26 17n = 0 + -26 Combine like terms: 0 + -26 = -26 17n = -26 Divide each side by '17'. n = -1.529411765 Simplifying n = -1.529411765
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