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Simplifying 3(3n + 4) = 9(3n + 7) + 8 Reorder the terms: 3(4 + 3n) = 9(3n + 7) + 8 (4 * 3 + 3n * 3) = 9(3n + 7) + 8 (12 + 9n) = 9(3n + 7) + 8 Reorder the terms: 12 + 9n = 9(7 + 3n) + 8 12 + 9n = (7 * 9 + 3n * 9) + 8 12 + 9n = (63 + 27n) + 8 Reorder the terms: 12 + 9n = 63 + 8 + 27n Combine like terms: 63 + 8 = 71 12 + 9n = 71 + 27n Solving 12 + 9n = 71 + 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. 12 + 9n + -27n = 71 + 27n + -27n Combine like terms: 9n + -27n = -18n 12 + -18n = 71 + 27n + -27n Combine like terms: 27n + -27n = 0 12 + -18n = 71 + 0 12 + -18n = 71 Add '-12' to each side of the equation. 12 + -12 + -18n = 71 + -12 Combine like terms: 12 + -12 = 0 0 + -18n = 71 + -12 -18n = 71 + -12 Combine like terms: 71 + -12 = 59 -18n = 59 Divide each side by '-18'. n = -3.277777778 Simplifying n = -3.277777778
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