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Simplifying 3(n + 7) + 8n = 8n + 6 Reorder the terms: 3(7 + n) + 8n = 8n + 6 (7 * 3 + n * 3) + 8n = 8n + 6 (21 + 3n) + 8n = 8n + 6 Combine like terms: 3n + 8n = 11n 21 + 11n = 8n + 6 Reorder the terms: 21 + 11n = 6 + 8n Solving 21 + 11n = 6 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 21 + 11n + -8n = 6 + 8n + -8n Combine like terms: 11n + -8n = 3n 21 + 3n = 6 + 8n + -8n Combine like terms: 8n + -8n = 0 21 + 3n = 6 + 0 21 + 3n = 6 Add '-21' to each side of the equation. 21 + -21 + 3n = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 3n = 6 + -21 3n = 6 + -21 Combine like terms: 6 + -21 = -15 3n = -15 Divide each side by '3'. n = -5 Simplifying n = -5
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