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Simplifying (2n + 1) * 2 = 12 Reorder the terms: (1 + 2n) * 2 = 12 Reorder the terms for easier multiplication: 2(1 + 2n) = 12 (1 * 2 + 2n * 2) = 12 (2 + 4n) = 12 Solving 2 + 4n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4n = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 4n = 12 + -2 4n = 12 + -2 Combine like terms: 12 + -2 = 10 4n = 10 Divide each side by '4'. n = 2.5 Simplifying n = 2.5
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