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Simplifying 6(2n + 3) = 9(9n + 2) + 2 Reorder the terms: 6(3 + 2n) = 9(9n + 2) + 2 (3 * 6 + 2n * 6) = 9(9n + 2) + 2 (18 + 12n) = 9(9n + 2) + 2 Reorder the terms: 18 + 12n = 9(2 + 9n) + 2 18 + 12n = (2 * 9 + 9n * 9) + 2 18 + 12n = (18 + 81n) + 2 Reorder the terms: 18 + 12n = 18 + 2 + 81n Combine like terms: 18 + 2 = 20 18 + 12n = 20 + 81n Solving 18 + 12n = 20 + 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. 18 + 12n + -81n = 20 + 81n + -81n Combine like terms: 12n + -81n = -69n 18 + -69n = 20 + 81n + -81n Combine like terms: 81n + -81n = 0 18 + -69n = 20 + 0 18 + -69n = 20 Add '-18' to each side of the equation. 18 + -18 + -69n = 20 + -18 Combine like terms: 18 + -18 = 0 0 + -69n = 20 + -18 -69n = 20 + -18 Combine like terms: 20 + -18 = 2 -69n = 2 Divide each side by '-69'. n = -0.02898550725 Simplifying n = -0.02898550725
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