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Simplifying 9(2n + 3) = 9(9n + 4) + 4 Reorder the terms: 9(3 + 2n) = 9(9n + 4) + 4 (3 * 9 + 2n * 9) = 9(9n + 4) + 4 (27 + 18n) = 9(9n + 4) + 4 Reorder the terms: 27 + 18n = 9(4 + 9n) + 4 27 + 18n = (4 * 9 + 9n * 9) + 4 27 + 18n = (36 + 81n) + 4 Reorder the terms: 27 + 18n = 36 + 4 + 81n Combine like terms: 36 + 4 = 40 27 + 18n = 40 + 81n Solving 27 + 18n = 40 + 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. 27 + 18n + -81n = 40 + 81n + -81n Combine like terms: 18n + -81n = -63n 27 + -63n = 40 + 81n + -81n Combine like terms: 81n + -81n = 0 27 + -63n = 40 + 0 27 + -63n = 40 Add '-27' to each side of the equation. 27 + -27 + -63n = 40 + -27 Combine like terms: 27 + -27 = 0 0 + -63n = 40 + -27 -63n = 40 + -27 Combine like terms: 40 + -27 = 13 -63n = 13 Divide each side by '-63'. n = -0.2063492063 Simplifying n = -0.2063492063
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