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Simplifying 2(n + 6) + 9(n + 6) = 0 Reorder the terms: 2(6 + n) + 9(n + 6) = 0 (6 * 2 + n * 2) + 9(n + 6) = 0 (12 + 2n) + 9(n + 6) = 0 Reorder the terms: 12 + 2n + 9(6 + n) = 0 12 + 2n + (6 * 9 + n * 9) = 0 12 + 2n + (54 + 9n) = 0 Reorder the terms: 12 + 54 + 2n + 9n = 0 Combine like terms: 12 + 54 = 66 66 + 2n + 9n = 0 Combine like terms: 2n + 9n = 11n 66 + 11n = 0 Solving 66 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 11n = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 11n = 0 + -66 11n = 0 + -66 Combine like terms: 0 + -66 = -66 11n = -66 Divide each side by '11'. n = -6 Simplifying n = -6
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