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Simplifying 5(n + 7) + 9(n + 2) = 0 Reorder the terms: 5(7 + n) + 9(n + 2) = 0 (7 * 5 + n * 5) + 9(n + 2) = 0 (35 + 5n) + 9(n + 2) = 0 Reorder the terms: 35 + 5n + 9(2 + n) = 0 35 + 5n + (2 * 9 + n * 9) = 0 35 + 5n + (18 + 9n) = 0 Reorder the terms: 35 + 18 + 5n + 9n = 0 Combine like terms: 35 + 18 = 53 53 + 5n + 9n = 0 Combine like terms: 5n + 9n = 14n 53 + 14n = 0 Solving 53 + 14n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 14n = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 14n = 0 + -53 14n = 0 + -53 Combine like terms: 0 + -53 = -53 14n = -53 Divide each side by '14'. n = -3.785714286 Simplifying n = -3.785714286
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