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Simplifying 3(n + 7) + 8(n + 5) = 0 Reorder the terms: 3(7 + n) + 8(n + 5) = 0 (7 * 3 + n * 3) + 8(n + 5) = 0 (21 + 3n) + 8(n + 5) = 0 Reorder the terms: 21 + 3n + 8(5 + n) = 0 21 + 3n + (5 * 8 + n * 8) = 0 21 + 3n + (40 + 8n) = 0 Reorder the terms: 21 + 40 + 3n + 8n = 0 Combine like terms: 21 + 40 = 61 61 + 3n + 8n = 0 Combine like terms: 3n + 8n = 11n 61 + 11n = 0 Solving 61 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 11n = 0 + -61 Combine like terms: 61 + -61 = 0 0 + 11n = 0 + -61 11n = 0 + -61 Combine like terms: 0 + -61 = -61 11n = -61 Divide each side by '11'. n = -5.545454545 Simplifying n = -5.545454545
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