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Simplifying 5n + 3n + -14 = 6n Reorder the terms: -14 + 5n + 3n = 6n Combine like terms: 5n + 3n = 8n -14 + 8n = 6n Solving -14 + 8n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -14 + 8n + -6n = 6n + -6n Combine like terms: 8n + -6n = 2n -14 + 2n = 6n + -6n Combine like terms: 6n + -6n = 0 -14 + 2n = 0 Add '14' to each side of the equation. -14 + 14 + 2n = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2n = 0 + 14 2n = 0 + 14 Combine like terms: 0 + 14 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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