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Simplifying 2(4n + 2) = 6n + 12 Reorder the terms: 2(2 + 4n) = 6n + 12 (2 * 2 + 4n * 2) = 6n + 12 (4 + 8n) = 6n + 12 Reorder the terms: 4 + 8n = 12 + 6n Solving 4 + 8n = 12 + 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 = 12 + 6n + -6n Combine like terms: 8n + -6n = 2n 4 + 2n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 4 + 2n = 12 + 0 4 + 2n = 12 Add '-4' to each side of the equation. 4 + -4 + 2n = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2n = 12 + -4 2n = 12 + -4 Combine like terms: 12 + -4 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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