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Simplifying 7(n + 7) + 8(n + 9) = 0 Reorder the terms: 7(7 + n) + 8(n + 9) = 0 (7 * 7 + n * 7) + 8(n + 9) = 0 (49 + 7n) + 8(n + 9) = 0 Reorder the terms: 49 + 7n + 8(9 + n) = 0 49 + 7n + (9 * 8 + n * 8) = 0 49 + 7n + (72 + 8n) = 0 Reorder the terms: 49 + 72 + 7n + 8n = 0 Combine like terms: 49 + 72 = 121 121 + 7n + 8n = 0 Combine like terms: 7n + 8n = 15n 121 + 15n = 0 Solving 121 + 15n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-121' to each side of the equation. 121 + -121 + 15n = 0 + -121 Combine like terms: 121 + -121 = 0 0 + 15n = 0 + -121 15n = 0 + -121 Combine like terms: 0 + -121 = -121 15n = -121 Divide each side by '15'. n = -8.066666667 Simplifying n = -8.066666667
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