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Simplifying 9(n + 1) + 7(n + 8) = 0 Reorder the terms: 9(1 + n) + 7(n + 8) = 0 (1 * 9 + n * 9) + 7(n + 8) = 0 (9 + 9n) + 7(n + 8) = 0 Reorder the terms: 9 + 9n + 7(8 + n) = 0 9 + 9n + (8 * 7 + n * 7) = 0 9 + 9n + (56 + 7n) = 0 Reorder the terms: 9 + 56 + 9n + 7n = 0 Combine like terms: 9 + 56 = 65 65 + 9n + 7n = 0 Combine like terms: 9n + 7n = 16n 65 + 16n = 0 Solving 65 + 16n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + 16n = 0 + -65 Combine like terms: 65 + -65 = 0 0 + 16n = 0 + -65 16n = 0 + -65 Combine like terms: 0 + -65 = -65 16n = -65 Divide each side by '16'. n = -4.0625 Simplifying n = -4.0625
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