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Simplifying 2(n + 6) + 9(n + 1) = 0 Reorder the terms: 2(6 + n) + 9(n + 1) = 0 (6 * 2 + n * 2) + 9(n + 1) = 0 (12 + 2n) + 9(n + 1) = 0 Reorder the terms: 12 + 2n + 9(1 + n) = 0 12 + 2n + (1 * 9 + n * 9) = 0 12 + 2n + (9 + 9n) = 0 Reorder the terms: 12 + 9 + 2n + 9n = 0 Combine like terms: 12 + 9 = 21 21 + 2n + 9n = 0 Combine like terms: 2n + 9n = 11n 21 + 11n = 0 Solving 21 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 11n = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 11n = 0 + -21 11n = 0 + -21 Combine like terms: 0 + -21 = -21 11n = -21 Divide each side by '11'. n = -1.909090909 Simplifying n = -1.909090909
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