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Simplifying 9(3n + 3) = 6(9n + 2) + 1 Reorder the terms: 9(3 + 3n) = 6(9n + 2) + 1 (3 * 9 + 3n * 9) = 6(9n + 2) + 1 (27 + 27n) = 6(9n + 2) + 1 Reorder the terms: 27 + 27n = 6(2 + 9n) + 1 27 + 27n = (2 * 6 + 9n * 6) + 1 27 + 27n = (12 + 54n) + 1 Reorder the terms: 27 + 27n = 12 + 1 + 54n Combine like terms: 12 + 1 = 13 27 + 27n = 13 + 54n Solving 27 + 27n = 13 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 27 + 27n + -54n = 13 + 54n + -54n Combine like terms: 27n + -54n = -27n 27 + -27n = 13 + 54n + -54n Combine like terms: 54n + -54n = 0 27 + -27n = 13 + 0 27 + -27n = 13 Add '-27' to each side of the equation. 27 + -27 + -27n = 13 + -27 Combine like terms: 27 + -27 = 0 0 + -27n = 13 + -27 -27n = 13 + -27 Combine like terms: 13 + -27 = -14 -27n = -14 Divide each side by '-27'. n = 0.5185185185 Simplifying n = 0.5185185185
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