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Simplifying 5n + -4 + 3n + 2 = 9 + 5n + 1 Reorder the terms: -4 + 2 + 5n + 3n = 9 + 5n + 1 Combine like terms: -4 + 2 = -2 -2 + 5n + 3n = 9 + 5n + 1 Combine like terms: 5n + 3n = 8n -2 + 8n = 9 + 5n + 1 Reorder the terms: -2 + 8n = 9 + 1 + 5n Combine like terms: 9 + 1 = 10 -2 + 8n = 10 + 5n Solving -2 + 8n = 10 + 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. -2 + 8n + -5n = 10 + 5n + -5n Combine like terms: 8n + -5n = 3n -2 + 3n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 -2 + 3n = 10 + 0 -2 + 3n = 10 Add '2' to each side of the equation. -2 + 2 + 3n = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 3n = 10 + 2 3n = 10 + 2 Combine like terms: 10 + 2 = 12 3n = 12 Divide each side by '3'. n = 4 Simplifying n = 4
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