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Simplifying 6(3n + 2) = 8(9n + 3) + 3 Reorder the terms: 6(2 + 3n) = 8(9n + 3) + 3 (2 * 6 + 3n * 6) = 8(9n + 3) + 3 (12 + 18n) = 8(9n + 3) + 3 Reorder the terms: 12 + 18n = 8(3 + 9n) + 3 12 + 18n = (3 * 8 + 9n * 8) + 3 12 + 18n = (24 + 72n) + 3 Reorder the terms: 12 + 18n = 24 + 3 + 72n Combine like terms: 24 + 3 = 27 12 + 18n = 27 + 72n Solving 12 + 18n = 27 + 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. 12 + 18n + -72n = 27 + 72n + -72n Combine like terms: 18n + -72n = -54n 12 + -54n = 27 + 72n + -72n Combine like terms: 72n + -72n = 0 12 + -54n = 27 + 0 12 + -54n = 27 Add '-12' to each side of the equation. 12 + -12 + -54n = 27 + -12 Combine like terms: 12 + -12 = 0 0 + -54n = 27 + -12 -54n = 27 + -12 Combine like terms: 27 + -12 = 15 -54n = 15 Divide each side by '-54'. n = -0.2777777778 Simplifying n = -0.2777777778
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