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Simplifying 3(n + 9) + 5(n + 6) = 0 Reorder the terms: 3(9 + n) + 5(n + 6) = 0 (9 * 3 + n * 3) + 5(n + 6) = 0 (27 + 3n) + 5(n + 6) = 0 Reorder the terms: 27 + 3n + 5(6 + n) = 0 27 + 3n + (6 * 5 + n * 5) = 0 27 + 3n + (30 + 5n) = 0 Reorder the terms: 27 + 30 + 3n + 5n = 0 Combine like terms: 27 + 30 = 57 57 + 3n + 5n = 0 Combine like terms: 3n + 5n = 8n 57 + 8n = 0 Solving 57 + 8n = 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 + 8n = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 8n = 0 + -57 8n = 0 + -57 Combine like terms: 0 + -57 = -57 8n = -57 Divide each side by '8'. n = -7.125 Simplifying n = -7.125
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