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Simplifying 7(7n + 5) + 5(5 + -4n) = 6n + 8n Reorder the terms: 7(5 + 7n) + 5(5 + -4n) = 6n + 8n (5 * 7 + 7n * 7) + 5(5 + -4n) = 6n + 8n (35 + 49n) + 5(5 + -4n) = 6n + 8n 35 + 49n + (5 * 5 + -4n * 5) = 6n + 8n 35 + 49n + (25 + -20n) = 6n + 8n Reorder the terms: 35 + 25 + 49n + -20n = 6n + 8n Combine like terms: 35 + 25 = 60 60 + 49n + -20n = 6n + 8n Combine like terms: 49n + -20n = 29n 60 + 29n = 6n + 8n Combine like terms: 6n + 8n = 14n 60 + 29n = 14n Solving 60 + 29n = 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 60 + 29n + -14n = 14n + -14n Combine like terms: 29n + -14n = 15n 60 + 15n = 14n + -14n Combine like terms: 14n + -14n = 0 60 + 15n = 0 Add '-60' to each side of the equation. 60 + -60 + 15n = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 15n = 0 + -60 15n = 0 + -60 Combine like terms: 0 + -60 = -60 15n = -60 Divide each side by '15'. n = -4 Simplifying n = -4
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