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Simplifying 3(2n + 1) = 4n + 9 Reorder the terms: 3(1 + 2n) = 4n + 9 (1 * 3 + 2n * 3) = 4n + 9 (3 + 6n) = 4n + 9 Reorder the terms: 3 + 6n = 9 + 4n Solving 3 + 6n = 9 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 3 + 6n + -4n = 9 + 4n + -4n Combine like terms: 6n + -4n = 2n 3 + 2n = 9 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + 2n = 9 + 0 3 + 2n = 9 Add '-3' to each side of the equation. 3 + -3 + 2n = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = 9 + -3 2n = 9 + -3 Combine like terms: 9 + -3 = 6 2n = 6 Divide each side by '2'. n = 3 Simplifying n = 3
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