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Simplifying 9(2n + 5) = 9(9n + 7) + 9 Reorder the terms: 9(5 + 2n) = 9(9n + 7) + 9 (5 * 9 + 2n * 9) = 9(9n + 7) + 9 (45 + 18n) = 9(9n + 7) + 9 Reorder the terms: 45 + 18n = 9(7 + 9n) + 9 45 + 18n = (7 * 9 + 9n * 9) + 9 45 + 18n = (63 + 81n) + 9 Reorder the terms: 45 + 18n = 63 + 9 + 81n Combine like terms: 63 + 9 = 72 45 + 18n = 72 + 81n Solving 45 + 18n = 72 + 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. 45 + 18n + -81n = 72 + 81n + -81n Combine like terms: 18n + -81n = -63n 45 + -63n = 72 + 81n + -81n Combine like terms: 81n + -81n = 0 45 + -63n = 72 + 0 45 + -63n = 72 Add '-45' to each side of the equation. 45 + -45 + -63n = 72 + -45 Combine like terms: 45 + -45 = 0 0 + -63n = 72 + -45 -63n = 72 + -45 Combine like terms: 72 + -45 = 27 -63n = 27 Divide each side by '-63'. n = -0.4285714286 Simplifying n = -0.4285714286
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