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Simplifying 2(2n + 1) = 3n + 8 Reorder the terms: 2(1 + 2n) = 3n + 8 (1 * 2 + 2n * 2) = 3n + 8 (2 + 4n) = 3n + 8 Reorder the terms: 2 + 4n = 8 + 3n Solving 2 + 4n = 8 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 2 + 4n + -3n = 8 + 3n + -3n Combine like terms: 4n + -3n = 1n 2 + 1n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 2 + 1n = 8 + 0 2 + 1n = 8 Add '-2' to each side of the equation. 2 + -2 + 1n = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 1n = 8 + -2 1n = 8 + -2 Combine like terms: 8 + -2 = 6 1n = 6 Divide each side by '1'. n = 6 Simplifying n = 6
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