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Simplifying 6(3n + 5) = 6(9n + 1) + 8 Reorder the terms: 6(5 + 3n) = 6(9n + 1) + 8 (5 * 6 + 3n * 6) = 6(9n + 1) + 8 (30 + 18n) = 6(9n + 1) + 8 Reorder the terms: 30 + 18n = 6(1 + 9n) + 8 30 + 18n = (1 * 6 + 9n * 6) + 8 30 + 18n = (6 + 54n) + 8 Reorder the terms: 30 + 18n = 6 + 8 + 54n Combine like terms: 6 + 8 = 14 30 + 18n = 14 + 54n Solving 30 + 18n = 14 + 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. 30 + 18n + -54n = 14 + 54n + -54n Combine like terms: 18n + -54n = -36n 30 + -36n = 14 + 54n + -54n Combine like terms: 54n + -54n = 0 30 + -36n = 14 + 0 30 + -36n = 14 Add '-30' to each side of the equation. 30 + -30 + -36n = 14 + -30 Combine like terms: 30 + -30 = 0 0 + -36n = 14 + -30 -36n = 14 + -30 Combine like terms: 14 + -30 = -16 -36n = -16 Divide each side by '-36'. n = 0.4444444444 Simplifying n = 0.4444444444
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