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Simplifying 16(n + 1) + 4n + 6(5 + n) = 0 Reorder the terms: 16(1 + n) + 4n + 6(5 + n) = 0 (1 * 16 + n * 16) + 4n + 6(5 + n) = 0 (16 + 16n) + 4n + 6(5 + n) = 0 16 + 16n + 4n + (5 * 6 + n * 6) = 0 16 + 16n + 4n + (30 + 6n) = 0 Reorder the terms: 16 + 30 + 16n + 4n + 6n = 0 Combine like terms: 16 + 30 = 46 46 + 16n + 4n + 6n = 0 Combine like terms: 16n + 4n = 20n 46 + 20n + 6n = 0 Combine like terms: 20n + 6n = 26n 46 + 26n = 0 Solving 46 + 26n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 26n = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 26n = 0 + -46 26n = 0 + -46 Combine like terms: 0 + -46 = -46 26n = -46 Divide each side by '26'. n = -1.769230769 Simplifying n = -1.769230769
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