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Simplifying 6(3n + 2) = 9(6n + 8) + 6 Reorder the terms: 6(2 + 3n) = 9(6n + 8) + 6 (2 * 6 + 3n * 6) = 9(6n + 8) + 6 (12 + 18n) = 9(6n + 8) + 6 Reorder the terms: 12 + 18n = 9(8 + 6n) + 6 12 + 18n = (8 * 9 + 6n * 9) + 6 12 + 18n = (72 + 54n) + 6 Reorder the terms: 12 + 18n = 72 + 6 + 54n Combine like terms: 72 + 6 = 78 12 + 18n = 78 + 54n Solving 12 + 18n = 78 + 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. 12 + 18n + -54n = 78 + 54n + -54n Combine like terms: 18n + -54n = -36n 12 + -36n = 78 + 54n + -54n Combine like terms: 54n + -54n = 0 12 + -36n = 78 + 0 12 + -36n = 78 Add '-12' to each side of the equation. 12 + -12 + -36n = 78 + -12 Combine like terms: 12 + -12 = 0 0 + -36n = 78 + -12 -36n = 78 + -12 Combine like terms: 78 + -12 = 66 -36n = 66 Divide each side by '-36'. n = -1.833333333 Simplifying n = -1.833333333
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