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Simplifying 3(n + 5) + 6(n + 5) = 0 Reorder the terms: 3(5 + n) + 6(n + 5) = 0 (5 * 3 + n * 3) + 6(n + 5) = 0 (15 + 3n) + 6(n + 5) = 0 Reorder the terms: 15 + 3n + 6(5 + n) = 0 15 + 3n + (5 * 6 + n * 6) = 0 15 + 3n + (30 + 6n) = 0 Reorder the terms: 15 + 30 + 3n + 6n = 0 Combine like terms: 15 + 30 = 45 45 + 3n + 6n = 0 Combine like terms: 3n + 6n = 9n 45 + 9n = 0 Solving 45 + 9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 9n = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 9n = 0 + -45 9n = 0 + -45 Combine like terms: 0 + -45 = -45 9n = -45 Divide each side by '9'. n = -5 Simplifying n = -5
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