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Simplifying (5n + 9) = (8n + 3) Reorder the terms: (9 + 5n) = (8n + 3) Remove parenthesis around (9 + 5n) 9 + 5n = (8n + 3) Reorder the terms: 9 + 5n = (3 + 8n) Remove parenthesis around (3 + 8n) 9 + 5n = 3 + 8n Solving 9 + 5n = 3 + 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. 9 + 5n + -8n = 3 + 8n + -8n Combine like terms: 5n + -8n = -3n 9 + -3n = 3 + 8n + -8n Combine like terms: 8n + -8n = 0 9 + -3n = 3 + 0 9 + -3n = 3 Add '-9' to each side of the equation. 9 + -9 + -3n = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -3n = 3 + -9 -3n = 3 + -9 Combine like terms: 3 + -9 = -6 -3n = -6 Divide each side by '-3'. n = 2 Simplifying n = 2
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