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Simplifying 5(n + 5) + 9(n + 6) = 0 Reorder the terms: 5(5 + n) + 9(n + 6) = 0 (5 * 5 + n * 5) + 9(n + 6) = 0 (25 + 5n) + 9(n + 6) = 0 Reorder the terms: 25 + 5n + 9(6 + n) = 0 25 + 5n + (6 * 9 + n * 9) = 0 25 + 5n + (54 + 9n) = 0 Reorder the terms: 25 + 54 + 5n + 9n = 0 Combine like terms: 25 + 54 = 79 79 + 5n + 9n = 0 Combine like terms: 5n + 9n = 14n 79 + 14n = 0 Solving 79 + 14n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-79' to each side of the equation. 79 + -79 + 14n = 0 + -79 Combine like terms: 79 + -79 = 0 0 + 14n = 0 + -79 14n = 0 + -79 Combine like terms: 0 + -79 = -79 14n = -79 Divide each side by '14'. n = -5.642857143 Simplifying n = -5.642857143
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