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Simplifying 5(n + 1) + 3n = 5(1 + 8n) + n Reorder the terms: 5(1 + n) + 3n = 5(1 + 8n) + n (1 * 5 + n * 5) + 3n = 5(1 + 8n) + n (5 + 5n) + 3n = 5(1 + 8n) + n Combine like terms: 5n + 3n = 8n 5 + 8n = 5(1 + 8n) + n 5 + 8n = (1 * 5 + 8n * 5) + n 5 + 8n = (5 + 40n) + n Combine like terms: 40n + n = 41n 5 + 8n = 5 + 41n Add '-5' to each side of the equation. 5 + -5 + 8n = 5 + -5 + 41n Combine like terms: 5 + -5 = 0 0 + 8n = 5 + -5 + 41n 8n = 5 + -5 + 41n Combine like terms: 5 + -5 = 0 8n = 0 + 41n 8n = 41n Solving 8n = 41n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-41n' to each side of the equation. 8n + -41n = 41n + -41n Combine like terms: 8n + -41n = -33n -33n = 41n + -41n Combine like terms: 41n + -41n = 0 -33n = 0 Divide each side by '-33'. n = 0 Simplifying n = 0
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