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Simplifying 3(2n + 1) = 9(3n + 1) + 4 Reorder the terms: 3(1 + 2n) = 9(3n + 1) + 4 (1 * 3 + 2n * 3) = 9(3n + 1) + 4 (3 + 6n) = 9(3n + 1) + 4 Reorder the terms: 3 + 6n = 9(1 + 3n) + 4 3 + 6n = (1 * 9 + 3n * 9) + 4 3 + 6n = (9 + 27n) + 4 Reorder the terms: 3 + 6n = 9 + 4 + 27n Combine like terms: 9 + 4 = 13 3 + 6n = 13 + 27n Solving 3 + 6n = 13 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. 3 + 6n + -27n = 13 + 27n + -27n Combine like terms: 6n + -27n = -21n 3 + -21n = 13 + 27n + -27n Combine like terms: 27n + -27n = 0 3 + -21n = 13 + 0 3 + -21n = 13 Add '-3' to each side of the equation. 3 + -3 + -21n = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -21n = 13 + -3 -21n = 13 + -3 Combine like terms: 13 + -3 = 10 -21n = 10 Divide each side by '-21'. n = -0.4761904762 Simplifying n = -0.4761904762
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