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Simplifying 8n + 2 = 10 + 4n Reorder the terms: 2 + 8n = 10 + 4n Solving 2 + 8n = 10 + 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 + 8n + -4n = 10 + 4n + -4n Combine like terms: 8n + -4n = 4n 2 + 4n = 10 + 4n + -4n Combine like terms: 4n + -4n = 0 2 + 4n = 10 + 0 2 + 4n = 10 Add '-2' to each side of the equation. 2 + -2 + 4n = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 4n = 10 + -2 4n = 10 + -2 Combine like terms: 10 + -2 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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