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Simplifying 6n + 2 = 6 + -4n + 8n Reorder the terms: 2 + 6n = 6 + -4n + 8n Combine like terms: -4n + 8n = 4n 2 + 6n = 6 + 4n Solving 2 + 6n = 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. 2 + 6n + -4n = 6 + 4n + -4n Combine like terms: 6n + -4n = 2n 2 + 2n = 6 + 4n + -4n Combine like terms: 4n + -4n = 0 2 + 2n = 6 + 0 2 + 2n = 6 Add '-2' to each side of the equation. 2 + -2 + 2n = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 2n = 6 + -2 2n = 6 + -2 Combine like terms: 6 + -2 = 4 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
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