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Simplifying 4(n + 9) + 5(n + 7) = 0 Reorder the terms: 4(9 + n) + 5(n + 7) = 0 (9 * 4 + n * 4) + 5(n + 7) = 0 (36 + 4n) + 5(n + 7) = 0 Reorder the terms: 36 + 4n + 5(7 + n) = 0 36 + 4n + (7 * 5 + n * 5) = 0 36 + 4n + (35 + 5n) = 0 Reorder the terms: 36 + 35 + 4n + 5n = 0 Combine like terms: 36 + 35 = 71 71 + 4n + 5n = 0 Combine like terms: 4n + 5n = 9n 71 + 9n = 0 Solving 71 + 9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-71' to each side of the equation. 71 + -71 + 9n = 0 + -71 Combine like terms: 71 + -71 = 0 0 + 9n = 0 + -71 9n = 0 + -71 Combine like terms: 0 + -71 = -71 9n = -71 Divide each side by '9'. n = -7.888888889 Simplifying n = -7.888888889
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