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Simplifying 8n + 9 = 3n + 14 Reorder the terms: 9 + 8n = 3n + 14 Reorder the terms: 9 + 8n = 14 + 3n Solving 9 + 8n = 14 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 9 + 8n + -3n = 14 + 3n + -3n Combine like terms: 8n + -3n = 5n 9 + 5n = 14 + 3n + -3n Combine like terms: 3n + -3n = 0 9 + 5n = 14 + 0 9 + 5n = 14 Add '-9' to each side of the equation. 9 + -9 + 5n = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 5n = 14 + -9 5n = 14 + -9 Combine like terms: 14 + -9 = 5 5n = 5 Divide each side by '5'. n = 1 Simplifying n = 1
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