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Simplifying 3(n + 3) + 8(n + 6) = 0 Reorder the terms: 3(3 + n) + 8(n + 6) = 0 (3 * 3 + n * 3) + 8(n + 6) = 0 (9 + 3n) + 8(n + 6) = 0 Reorder the terms: 9 + 3n + 8(6 + n) = 0 9 + 3n + (6 * 8 + n * 8) = 0 9 + 3n + (48 + 8n) = 0 Reorder the terms: 9 + 48 + 3n + 8n = 0 Combine like terms: 9 + 48 = 57 57 + 3n + 8n = 0 Combine like terms: 3n + 8n = 11n 57 + 11n = 0 Solving 57 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 11n = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 11n = 0 + -57 11n = 0 + -57 Combine like terms: 0 + -57 = -57 11n = -57 Divide each side by '11'. n = -5.181818182 Simplifying n = -5.181818182
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