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Simplifying 5(n + 9) + 7(n + 6) = 0 Reorder the terms: 5(9 + n) + 7(n + 6) = 0 (9 * 5 + n * 5) + 7(n + 6) = 0 (45 + 5n) + 7(n + 6) = 0 Reorder the terms: 45 + 5n + 7(6 + n) = 0 45 + 5n + (6 * 7 + n * 7) = 0 45 + 5n + (42 + 7n) = 0 Reorder the terms: 45 + 42 + 5n + 7n = 0 Combine like terms: 45 + 42 = 87 87 + 5n + 7n = 0 Combine like terms: 5n + 7n = 12n 87 + 12n = 0 Solving 87 + 12n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-87' to each side of the equation. 87 + -87 + 12n = 0 + -87 Combine like terms: 87 + -87 = 0 0 + 12n = 0 + -87 12n = 0 + -87 Combine like terms: 0 + -87 = -87 12n = -87 Divide each side by '12'. n = -7.25 Simplifying n = -7.25
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