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Simplifying 2(n + 7) + 9(n + 2) = 0 Reorder the terms: 2(7 + n) + 9(n + 2) = 0 (7 * 2 + n * 2) + 9(n + 2) = 0 (14 + 2n) + 9(n + 2) = 0 Reorder the terms: 14 + 2n + 9(2 + n) = 0 14 + 2n + (2 * 9 + n * 9) = 0 14 + 2n + (18 + 9n) = 0 Reorder the terms: 14 + 18 + 2n + 9n = 0 Combine like terms: 14 + 18 = 32 32 + 2n + 9n = 0 Combine like terms: 2n + 9n = 11n 32 + 11n = 0 Solving 32 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 11n = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 11n = 0 + -32 11n = 0 + -32 Combine like terms: 0 + -32 = -32 11n = -32 Divide each side by '11'. n = -2.909090909 Simplifying n = -2.909090909
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