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Simplifying 8n + -14 = 3n + 1 Reorder the terms: -14 + 8n = 3n + 1 Reorder the terms: -14 + 8n = 1 + 3n Solving -14 + 8n = 1 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -14 + 8n + -3n = 1 + 3n + -3n Combine like terms: 8n + -3n = 5n -14 + 5n = 1 + 3n + -3n Combine like terms: 3n + -3n = 0 -14 + 5n = 1 + 0 -14 + 5n = 1 Add '14' to each side of the equation. -14 + 14 + 5n = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 5n = 1 + 14 5n = 1 + 14 Combine like terms: 1 + 14 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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