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Simplifying 7(n + 1) + 7(n + 5) = 0 Reorder the terms: 7(1 + n) + 7(n + 5) = 0 (1 * 7 + n * 7) + 7(n + 5) = 0 (7 + 7n) + 7(n + 5) = 0 Reorder the terms: 7 + 7n + 7(5 + n) = 0 7 + 7n + (5 * 7 + n * 7) = 0 7 + 7n + (35 + 7n) = 0 Reorder the terms: 7 + 35 + 7n + 7n = 0 Combine like terms: 7 + 35 = 42 42 + 7n + 7n = 0 Combine like terms: 7n + 7n = 14n 42 + 14n = 0 Solving 42 + 14n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 14n = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 14n = 0 + -42 14n = 0 + -42 Combine like terms: 0 + -42 = -42 14n = -42 Divide each side by '14'. n = -3 Simplifying n = -3
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