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Simplifying 3(n + 4) + 3(n + 5) = 0 Reorder the terms: 3(4 + n) + 3(n + 5) = 0 (4 * 3 + n * 3) + 3(n + 5) = 0 (12 + 3n) + 3(n + 5) = 0 Reorder the terms: 12 + 3n + 3(5 + n) = 0 12 + 3n + (5 * 3 + n * 3) = 0 12 + 3n + (15 + 3n) = 0 Reorder the terms: 12 + 15 + 3n + 3n = 0 Combine like terms: 12 + 15 = 27 27 + 3n + 3n = 0 Combine like terms: 3n + 3n = 6n 27 + 6n = 0 Solving 27 + 6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 6n = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 6n = 0 + -27 6n = 0 + -27 Combine like terms: 0 + -27 = -27 6n = -27 Divide each side by '6'. n = -4.5 Simplifying n = -4.5
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