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Simplifying 8n + -14 = 4n + 6 Reorder the terms: -14 + 8n = 4n + 6 Reorder the terms: -14 + 8n = 6 + 4n Solving -14 + 8n = 6 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -14 + 8n + -4n = 6 + 4n + -4n Combine like terms: 8n + -4n = 4n -14 + 4n = 6 + 4n + -4n Combine like terms: 4n + -4n = 0 -14 + 4n = 6 + 0 -14 + 4n = 6 Add '14' to each side of the equation. -14 + 14 + 4n = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 4n = 6 + 14 4n = 6 + 14 Combine like terms: 6 + 14 = 20 4n = 20 Divide each side by '4'. n = 5 Simplifying n = 5
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