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Simplifying 2(4n + 2) = 23 + -6n Reorder the terms: 2(2 + 4n) = 23 + -6n (2 * 2 + 4n * 2) = 23 + -6n (4 + 8n) = 23 + -6n Solving 4 + 8n = 23 + -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. 4 + 8n + 6n = 23 + -6n + 6n Combine like terms: 8n + 6n = 14n 4 + 14n = 23 + -6n + 6n Combine like terms: -6n + 6n = 0 4 + 14n = 23 + 0 4 + 14n = 23 Add '-4' to each side of the equation. 4 + -4 + 14n = 23 + -4 Combine like terms: 4 + -4 = 0 0 + 14n = 23 + -4 14n = 23 + -4 Combine like terms: 23 + -4 = 19 14n = 19 Divide each side by '14'. n = 1.357142857 Simplifying n = 1.357142857
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