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Simplifying 3(n + 4) + 8(n + 5) = 0 Reorder the terms: 3(4 + n) + 8(n + 5) = 0 (4 * 3 + n * 3) + 8(n + 5) = 0 (12 + 3n) + 8(n + 5) = 0 Reorder the terms: 12 + 3n + 8(5 + n) = 0 12 + 3n + (5 * 8 + n * 8) = 0 12 + 3n + (40 + 8n) = 0 Reorder the terms: 12 + 40 + 3n + 8n = 0 Combine like terms: 12 + 40 = 52 52 + 3n + 8n = 0 Combine like terms: 3n + 8n = 11n 52 + 11n = 0 Solving 52 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 11n = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 11n = 0 + -52 11n = 0 + -52 Combine like terms: 0 + -52 = -52 11n = -52 Divide each side by '11'. n = -4.727272727 Simplifying n = -4.727272727
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