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Simplifying 4n + -5 + 4n + 1 = 9 + 5n + 2 Reorder the terms: -5 + 1 + 4n + 4n = 9 + 5n + 2 Combine like terms: -5 + 1 = -4 -4 + 4n + 4n = 9 + 5n + 2 Combine like terms: 4n + 4n = 8n -4 + 8n = 9 + 5n + 2 Reorder the terms: -4 + 8n = 9 + 2 + 5n Combine like terms: 9 + 2 = 11 -4 + 8n = 11 + 5n Solving -4 + 8n = 11 + 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. -4 + 8n + -5n = 11 + 5n + -5n Combine like terms: 8n + -5n = 3n -4 + 3n = 11 + 5n + -5n Combine like terms: 5n + -5n = 0 -4 + 3n = 11 + 0 -4 + 3n = 11 Add '4' to each side of the equation. -4 + 4 + 3n = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 3n = 11 + 4 3n = 11 + 4 Combine like terms: 11 + 4 = 15 3n = 15 Divide each side by '3'. n = 5 Simplifying n = 5
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