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Simplifying 3(n + 4) + 8(n + 9) = 0 Reorder the terms: 3(4 + n) + 8(n + 9) = 0 (4 * 3 + n * 3) + 8(n + 9) = 0 (12 + 3n) + 8(n + 9) = 0 Reorder the terms: 12 + 3n + 8(9 + n) = 0 12 + 3n + (9 * 8 + n * 8) = 0 12 + 3n + (72 + 8n) = 0 Reorder the terms: 12 + 72 + 3n + 8n = 0 Combine like terms: 12 + 72 = 84 84 + 3n + 8n = 0 Combine like terms: 3n + 8n = 11n 84 + 11n = 0 Solving 84 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 11n = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 11n = 0 + -84 11n = 0 + -84 Combine like terms: 0 + -84 = -84 11n = -84 Divide each side by '11'. n = -7.636363636 Simplifying n = -7.636363636
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