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Simplifying 3(3n + 3) = 6(6n + 2) + 4 Reorder the terms: 3(3 + 3n) = 6(6n + 2) + 4 (3 * 3 + 3n * 3) = 6(6n + 2) + 4 (9 + 9n) = 6(6n + 2) + 4 Reorder the terms: 9 + 9n = 6(2 + 6n) + 4 9 + 9n = (2 * 6 + 6n * 6) + 4 9 + 9n = (12 + 36n) + 4 Reorder the terms: 9 + 9n = 12 + 4 + 36n Combine like terms: 12 + 4 = 16 9 + 9n = 16 + 36n Solving 9 + 9n = 16 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 9 + 9n + -36n = 16 + 36n + -36n Combine like terms: 9n + -36n = -27n 9 + -27n = 16 + 36n + -36n Combine like terms: 36n + -36n = 0 9 + -27n = 16 + 0 9 + -27n = 16 Add '-9' to each side of the equation. 9 + -9 + -27n = 16 + -9 Combine like terms: 9 + -9 = 0 0 + -27n = 16 + -9 -27n = 16 + -9 Combine like terms: 16 + -9 = 7 -27n = 7 Divide each side by '-27'. n = -0.2592592593 Simplifying n = -0.2592592593
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