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Simplifying 8n + 9 = 5n + 54 Reorder the terms: 9 + 8n = 5n + 54 Reorder the terms: 9 + 8n = 54 + 5n Solving 9 + 8n = 54 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 9 + 8n + -5n = 54 + 5n + -5n Combine like terms: 8n + -5n = 3n 9 + 3n = 54 + 5n + -5n Combine like terms: 5n + -5n = 0 9 + 3n = 54 + 0 9 + 3n = 54 Add '-9' to each side of the equation. 9 + -9 + 3n = 54 + -9 Combine like terms: 9 + -9 = 0 0 + 3n = 54 + -9 3n = 54 + -9 Combine like terms: 54 + -9 = 45 3n = 45 Divide each side by '3'. n = 15 Simplifying n = 15
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