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Simplifying (6 + n) * 5 = 8n Reorder the terms for easier multiplication: 5(6 + n) = 8n (6 * 5 + n * 5) = 8n (30 + 5n) = 8n Solving 30 + 5n = 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. 30 + 5n + -8n = 8n + -8n Combine like terms: 5n + -8n = -3n 30 + -3n = 8n + -8n Combine like terms: 8n + -8n = 0 30 + -3n = 0 Add '-30' to each side of the equation. 30 + -30 + -3n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -3n = 0 + -30 -3n = 0 + -30 Combine like terms: 0 + -30 = -30 -3n = -30 Divide each side by '-3'. n = 10 Simplifying n = 10
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