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Simplifying 9(2n + 4) = 9(9n + 7) + 6 Reorder the terms: 9(4 + 2n) = 9(9n + 7) + 6 (4 * 9 + 2n * 9) = 9(9n + 7) + 6 (36 + 18n) = 9(9n + 7) + 6 Reorder the terms: 36 + 18n = 9(7 + 9n) + 6 36 + 18n = (7 * 9 + 9n * 9) + 6 36 + 18n = (63 + 81n) + 6 Reorder the terms: 36 + 18n = 63 + 6 + 81n Combine like terms: 63 + 6 = 69 36 + 18n = 69 + 81n Solving 36 + 18n = 69 + 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. 36 + 18n + -81n = 69 + 81n + -81n Combine like terms: 18n + -81n = -63n 36 + -63n = 69 + 81n + -81n Combine like terms: 81n + -81n = 0 36 + -63n = 69 + 0 36 + -63n = 69 Add '-36' to each side of the equation. 36 + -36 + -63n = 69 + -36 Combine like terms: 36 + -36 = 0 0 + -63n = 69 + -36 -63n = 69 + -36 Combine like terms: 69 + -36 = 33 -63n = 33 Divide each side by '-63'. n = -0.5238095238 Simplifying n = -0.5238095238
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