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Simplifying 6(5 + 5n) + 8 = 8n + 38 (5 * 6 + 5n * 6) + 8 = 8n + 38 (30 + 30n) + 8 = 8n + 38 Reorder the terms: 30 + 8 + 30n = 8n + 38 Combine like terms: 30 + 8 = 38 38 + 30n = 8n + 38 Reorder the terms: 38 + 30n = 38 + 8n Add '-38' to each side of the equation. 38 + -38 + 30n = 38 + -38 + 8n Combine like terms: 38 + -38 = 0 0 + 30n = 38 + -38 + 8n 30n = 38 + -38 + 8n Combine like terms: 38 + -38 = 0 30n = 0 + 8n 30n = 8n Solving 30n = 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. 30n + -8n = 8n + -8n Combine like terms: 30n + -8n = 22n 22n = 8n + -8n Combine like terms: 8n + -8n = 0 22n = 0 Divide each side by '22'. n = 0 Simplifying n = 0
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