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Simplifying 9 + 2(15 + n) + 4n + 6(5 + n) = 0 9 + (15 * 2 + n * 2) + 4n + 6(5 + n) = 0 9 + (30 + 2n) + 4n + 6(5 + n) = 0 9 + 30 + 2n + 4n + (5 * 6 + n * 6) = 0 9 + 30 + 2n + 4n + (30 + 6n) = 0 Reorder the terms: 9 + 30 + 30 + 2n + 4n + 6n = 0 Combine like terms: 9 + 30 = 39 39 + 30 + 2n + 4n + 6n = 0 Combine like terms: 39 + 30 = 69 69 + 2n + 4n + 6n = 0 Combine like terms: 2n + 4n = 6n 69 + 6n + 6n = 0 Combine like terms: 6n + 6n = 12n 69 + 12n = 0 Solving 69 + 12n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 12n = 0 + -69 Combine like terms: 69 + -69 = 0 0 + 12n = 0 + -69 12n = 0 + -69 Combine like terms: 0 + -69 = -69 12n = -69 Divide each side by '12'. n = -5.75 Simplifying n = -5.75
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