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Simplifying 6(3n + 1) = 9(9n + 2) + 9 Reorder the terms: 6(1 + 3n) = 9(9n + 2) + 9 (1 * 6 + 3n * 6) = 9(9n + 2) + 9 (6 + 18n) = 9(9n + 2) + 9 Reorder the terms: 6 + 18n = 9(2 + 9n) + 9 6 + 18n = (2 * 9 + 9n * 9) + 9 6 + 18n = (18 + 81n) + 9 Reorder the terms: 6 + 18n = 18 + 9 + 81n Combine like terms: 18 + 9 = 27 6 + 18n = 27 + 81n Solving 6 + 18n = 27 + 81n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-81n' to each side of the equation. 6 + 18n + -81n = 27 + 81n + -81n Combine like terms: 18n + -81n = -63n 6 + -63n = 27 + 81n + -81n Combine like terms: 81n + -81n = 0 6 + -63n = 27 + 0 6 + -63n = 27 Add '-6' to each side of the equation. 6 + -6 + -63n = 27 + -6 Combine like terms: 6 + -6 = 0 0 + -63n = 27 + -6 -63n = 27 + -6 Combine like terms: 27 + -6 = 21 -63n = 21 Divide each side by '-63'. n = -0.3333333333 Simplifying n = -0.3333333333
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