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Simplifying 7(n + 1) + 2(n + 1) = 0 Reorder the terms: 7(1 + n) + 2(n + 1) = 0 (1 * 7 + n * 7) + 2(n + 1) = 0 (7 + 7n) + 2(n + 1) = 0 Reorder the terms: 7 + 7n + 2(1 + n) = 0 7 + 7n + (1 * 2 + n * 2) = 0 7 + 7n + (2 + 2n) = 0 Reorder the terms: 7 + 2 + 7n + 2n = 0 Combine like terms: 7 + 2 = 9 9 + 7n + 2n = 0 Combine like terms: 7n + 2n = 9n 9 + 9n = 0 Solving 9 + 9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 9n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 9n = 0 + -9 9n = 0 + -9 Combine like terms: 0 + -9 = -9 9n = -9 Divide each side by '9'. n = -1 Simplifying n = -1
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