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Simplifying 3(n + 5) + 3(n + 9) = 0 Reorder the terms: 3(5 + n) + 3(n + 9) = 0 (5 * 3 + n * 3) + 3(n + 9) = 0 (15 + 3n) + 3(n + 9) = 0 Reorder the terms: 15 + 3n + 3(9 + n) = 0 15 + 3n + (9 * 3 + n * 3) = 0 15 + 3n + (27 + 3n) = 0 Reorder the terms: 15 + 27 + 3n + 3n = 0 Combine like terms: 15 + 27 = 42 42 + 3n + 3n = 0 Combine like terms: 3n + 3n = 6n 42 + 6n = 0 Solving 42 + 6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 6n = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 6n = 0 + -42 6n = 0 + -42 Combine like terms: 0 + -42 = -42 6n = -42 Divide each side by '6'. n = -7 Simplifying n = -7
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