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Simplifying 9(3n + 4) = 9(9n + 4) + 4 Reorder the terms: 9(4 + 3n) = 9(9n + 4) + 4 (4 * 9 + 3n * 9) = 9(9n + 4) + 4 (36 + 27n) = 9(9n + 4) + 4 Reorder the terms: 36 + 27n = 9(4 + 9n) + 4 36 + 27n = (4 * 9 + 9n * 9) + 4 36 + 27n = (36 + 81n) + 4 Reorder the terms: 36 + 27n = 36 + 4 + 81n Combine like terms: 36 + 4 = 40 36 + 27n = 40 + 81n Solving 36 + 27n = 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. 36 + 27n + -81n = 40 + 81n + -81n Combine like terms: 27n + -81n = -54n 36 + -54n = 40 + 81n + -81n Combine like terms: 81n + -81n = 0 36 + -54n = 40 + 0 36 + -54n = 40 Add '-36' to each side of the equation. 36 + -36 + -54n = 40 + -36 Combine like terms: 36 + -36 = 0 0 + -54n = 40 + -36 -54n = 40 + -36 Combine like terms: 40 + -36 = 4 -54n = 4 Divide each side by '-54'. n = -0.07407407407 Simplifying n = -0.07407407407
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