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Simplifying 9(3n + 4) = 6(9n + 5) + 4 Reorder the terms: 9(4 + 3n) = 6(9n + 5) + 4 (4 * 9 + 3n * 9) = 6(9n + 5) + 4 (36 + 27n) = 6(9n + 5) + 4 Reorder the terms: 36 + 27n = 6(5 + 9n) + 4 36 + 27n = (5 * 6 + 9n * 6) + 4 36 + 27n = (30 + 54n) + 4 Reorder the terms: 36 + 27n = 30 + 4 + 54n Combine like terms: 30 + 4 = 34 36 + 27n = 34 + 54n Solving 36 + 27n = 34 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 36 + 27n + -54n = 34 + 54n + -54n Combine like terms: 27n + -54n = -27n 36 + -27n = 34 + 54n + -54n Combine like terms: 54n + -54n = 0 36 + -27n = 34 + 0 36 + -27n = 34 Add '-36' to each side of the equation. 36 + -36 + -27n = 34 + -36 Combine like terms: 36 + -36 = 0 0 + -27n = 34 + -36 -27n = 34 + -36 Combine like terms: 34 + -36 = -2 -27n = -2 Divide each side by '-27'. n = 0.07407407407 Simplifying n = 0.07407407407
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