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Simplifying 9(n + 6) + 7(n + 6) = 0 Reorder the terms: 9(6 + n) + 7(n + 6) = 0 (6 * 9 + n * 9) + 7(n + 6) = 0 (54 + 9n) + 7(n + 6) = 0 Reorder the terms: 54 + 9n + 7(6 + n) = 0 54 + 9n + (6 * 7 + n * 7) = 0 54 + 9n + (42 + 7n) = 0 Reorder the terms: 54 + 42 + 9n + 7n = 0 Combine like terms: 54 + 42 = 96 96 + 9n + 7n = 0 Combine like terms: 9n + 7n = 16n 96 + 16n = 0 Solving 96 + 16n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + 16n = 0 + -96 Combine like terms: 96 + -96 = 0 0 + 16n = 0 + -96 16n = 0 + -96 Combine like terms: 0 + -96 = -96 16n = -96 Divide each side by '16'. n = -6 Simplifying n = -6
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