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Simplifying 2n + 3(1 + 2n) = 12 2n + (1 * 3 + 2n * 3) = 12 2n + (3 + 6n) = 12 Reorder the terms: 3 + 2n + 6n = 12 Combine like terms: 2n + 6n = 8n 3 + 8n = 12 Solving 3 + 8n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8n = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 8n = 12 + -3 8n = 12 + -3 Combine like terms: 12 + -3 = 9 8n = 9 Divide each side by '8'. n = 1.125 Simplifying n = 1.125
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