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Simplifying 3(n + 8) + 8(n + 10) = 0 Reorder the terms: 3(8 + n) + 8(n + 10) = 0 (8 * 3 + n * 3) + 8(n + 10) = 0 (24 + 3n) + 8(n + 10) = 0 Reorder the terms: 24 + 3n + 8(10 + n) = 0 24 + 3n + (10 * 8 + n * 8) = 0 24 + 3n + (80 + 8n) = 0 Reorder the terms: 24 + 80 + 3n + 8n = 0 Combine like terms: 24 + 80 = 104 104 + 3n + 8n = 0 Combine like terms: 3n + 8n = 11n 104 + 11n = 0 Solving 104 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-104' to each side of the equation. 104 + -104 + 11n = 0 + -104 Combine like terms: 104 + -104 = 0 0 + 11n = 0 + -104 11n = 0 + -104 Combine like terms: 0 + -104 = -104 11n = -104 Divide each side by '11'. n = -9.454545455 Simplifying n = -9.454545455
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