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Simplifying 8(n + 5) + 3(n + -3) = 0 Reorder the terms: 8(5 + n) + 3(n + -3) = 0 (5 * 8 + n * 8) + 3(n + -3) = 0 (40 + 8n) + 3(n + -3) = 0 Reorder the terms: 40 + 8n + 3(-3 + n) = 0 40 + 8n + (-3 * 3 + n * 3) = 0 40 + 8n + (-9 + 3n) = 0 Reorder the terms: 40 + -9 + 8n + 3n = 0 Combine like terms: 40 + -9 = 31 31 + 8n + 3n = 0 Combine like terms: 8n + 3n = 11n 31 + 11n = 0 Solving 31 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 11n = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 11n = 0 + -31 11n = 0 + -31 Combine like terms: 0 + -31 = -31 11n = -31 Divide each side by '11'. n = -2.818181818 Simplifying n = -2.818181818
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