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Simplifying 9 + 2(15 + n) + 7(n + 5) = 0 9 + (15 * 2 + n * 2) + 7(n + 5) = 0 9 + (30 + 2n) + 7(n + 5) = 0 Reorder the terms: 9 + 30 + 2n + 7(5 + n) = 0 9 + 30 + 2n + (5 * 7 + n * 7) = 0 9 + 30 + 2n + (35 + 7n) = 0 Reorder the terms: 9 + 30 + 35 + 2n + 7n = 0 Combine like terms: 9 + 30 = 39 39 + 35 + 2n + 7n = 0 Combine like terms: 39 + 35 = 74 74 + 2n + 7n = 0 Combine like terms: 2n + 7n = 9n 74 + 9n = 0 Solving 74 + 9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + 9n = 0 + -74 Combine like terms: 74 + -74 = 0 0 + 9n = 0 + -74 9n = 0 + -74 Combine like terms: 0 + -74 = -74 9n = -74 Divide each side by '9'. n = -8.222222222 Simplifying n = -8.222222222
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