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Simplifying 9(n + 5) + 6(n + 3) = 0 Reorder the terms: 9(5 + n) + 6(n + 3) = 0 (5 * 9 + n * 9) + 6(n + 3) = 0 (45 + 9n) + 6(n + 3) = 0 Reorder the terms: 45 + 9n + 6(3 + n) = 0 45 + 9n + (3 * 6 + n * 6) = 0 45 + 9n + (18 + 6n) = 0 Reorder the terms: 45 + 18 + 9n + 6n = 0 Combine like terms: 45 + 18 = 63 63 + 9n + 6n = 0 Combine like terms: 9n + 6n = 15n 63 + 15n = 0 Solving 63 + 15n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 15n = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 15n = 0 + -63 15n = 0 + -63 Combine like terms: 0 + -63 = -63 15n = -63 Divide each side by '15'. n = -4.2 Simplifying n = -4.2
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