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Simplifying 7(7 + 3n) + 8n = 0 (7 * 7 + 3n * 7) + 8n = 0 (49 + 21n) + 8n = 0 Combine like terms: 21n + 8n = 29n 49 + 29n = 0 Solving 49 + 29n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 29n = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 29n = 0 + -49 29n = 0 + -49 Combine like terms: 0 + -49 = -49 29n = -49 Divide each side by '29'. n = -1.689655172 Simplifying n = -1.689655172
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