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Simplifying 9(n + 5) + 6(n + 6) = 0 Reorder the terms: 9(5 + n) + 6(n + 6) = 0 (5 * 9 + n * 9) + 6(n + 6) = 0 (45 + 9n) + 6(n + 6) = 0 Reorder the terms: 45 + 9n + 6(6 + n) = 0 45 + 9n + (6 * 6 + n * 6) = 0 45 + 9n + (36 + 6n) = 0 Reorder the terms: 45 + 36 + 9n + 6n = 0 Combine like terms: 45 + 36 = 81 81 + 9n + 6n = 0 Combine like terms: 9n + 6n = 15n 81 + 15n = 0 Solving 81 + 15n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 15n = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 15n = 0 + -81 15n = 0 + -81 Combine like terms: 0 + -81 = -81 15n = -81 Divide each side by '15'. n = -5.4 Simplifying n = -5.4
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