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Simplifying 0 = 6(n + 1) + 5(n + 9) Reorder the terms: 0 = 6(1 + n) + 5(n + 9) 0 = (1 * 6 + n * 6) + 5(n + 9) 0 = (6 + 6n) + 5(n + 9) Reorder the terms: 0 = 6 + 6n + 5(9 + n) 0 = 6 + 6n + (9 * 5 + n * 5) 0 = 6 + 6n + (45 + 5n) Reorder the terms: 0 = 6 + 45 + 6n + 5n Combine like terms: 6 + 45 = 51 0 = 51 + 6n + 5n Combine like terms: 6n + 5n = 11n 0 = 51 + 11n Solving 0 = 51 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 0 + -11n = 51 + 11n + -11n Remove the zero: -11n = 51 + 11n + -11n Combine like terms: 11n + -11n = 0 -11n = 51 + 0 -11n = 51 Divide each side by '-11'. n = -4.636363636 Simplifying n = -4.636363636
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