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Simplifying 6(3n + 1) = 8(9n + 4) + 6 Reorder the terms: 6(1 + 3n) = 8(9n + 4) + 6 (1 * 6 + 3n * 6) = 8(9n + 4) + 6 (6 + 18n) = 8(9n + 4) + 6 Reorder the terms: 6 + 18n = 8(4 + 9n) + 6 6 + 18n = (4 * 8 + 9n * 8) + 6 6 + 18n = (32 + 72n) + 6 Reorder the terms: 6 + 18n = 32 + 6 + 72n Combine like terms: 32 + 6 = 38 6 + 18n = 38 + 72n Solving 6 + 18n = 38 + 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 6 + 18n + -72n = 38 + 72n + -72n Combine like terms: 18n + -72n = -54n 6 + -54n = 38 + 72n + -72n Combine like terms: 72n + -72n = 0 6 + -54n = 38 + 0 6 + -54n = 38 Add '-6' to each side of the equation. 6 + -6 + -54n = 38 + -6 Combine like terms: 6 + -6 = 0 0 + -54n = 38 + -6 -54n = 38 + -6 Combine like terms: 38 + -6 = 32 -54n = 32 Divide each side by '-54'. n = -0.5925925926 Simplifying n = -0.5925925926
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