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Simplifying 3(2n + 1) = 51 Reorder the terms: 3(1 + 2n) = 51 (1 * 3 + 2n * 3) = 51 (3 + 6n) = 51 Solving 3 + 6n = 51 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 + 6n = 51 + -3 Combine like terms: 3 + -3 = 0 0 + 6n = 51 + -3 6n = 51 + -3 Combine like terms: 51 + -3 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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