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Simplifying 9(n + 2) + 7(n + 6) = 0 Reorder the terms: 9(2 + n) + 7(n + 6) = 0 (2 * 9 + n * 9) + 7(n + 6) = 0 (18 + 9n) + 7(n + 6) = 0 Reorder the terms: 18 + 9n + 7(6 + n) = 0 18 + 9n + (6 * 7 + n * 7) = 0 18 + 9n + (42 + 7n) = 0 Reorder the terms: 18 + 42 + 9n + 7n = 0 Combine like terms: 18 + 42 = 60 60 + 9n + 7n = 0 Combine like terms: 9n + 7n = 16n 60 + 16n = 0 Solving 60 + 16n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 16n = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 16n = 0 + -60 16n = 0 + -60 Combine like terms: 0 + -60 = -60 16n = -60 Divide each side by '16'. n = -3.75 Simplifying n = -3.75
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