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Simplifying 3 + 5n + -1 = 8n + 14 + -6n Reorder the terms: 3 + -1 + 5n = 8n + 14 + -6n Combine like terms: 3 + -1 = 2 2 + 5n = 8n + 14 + -6n Reorder the terms: 2 + 5n = 14 + 8n + -6n Combine like terms: 8n + -6n = 2n 2 + 5n = 14 + 2n Solving 2 + 5n = 14 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 2 + 5n + -2n = 14 + 2n + -2n Combine like terms: 5n + -2n = 3n 2 + 3n = 14 + 2n + -2n Combine like terms: 2n + -2n = 0 2 + 3n = 14 + 0 2 + 3n = 14 Add '-2' to each side of the equation. 2 + -2 + 3n = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 3n = 14 + -2 3n = 14 + -2 Combine like terms: 14 + -2 = 12 3n = 12 Divide each side by '3'. n = 4 Simplifying n = 4
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