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Simplifying 9(2n + 5) = 6(9n + 6) + 4 Reorder the terms: 9(5 + 2n) = 6(9n + 6) + 4 (5 * 9 + 2n * 9) = 6(9n + 6) + 4 (45 + 18n) = 6(9n + 6) + 4 Reorder the terms: 45 + 18n = 6(6 + 9n) + 4 45 + 18n = (6 * 6 + 9n * 6) + 4 45 + 18n = (36 + 54n) + 4 Reorder the terms: 45 + 18n = 36 + 4 + 54n Combine like terms: 36 + 4 = 40 45 + 18n = 40 + 54n Solving 45 + 18n = 40 + 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. 45 + 18n + -54n = 40 + 54n + -54n Combine like terms: 18n + -54n = -36n 45 + -36n = 40 + 54n + -54n Combine like terms: 54n + -54n = 0 45 + -36n = 40 + 0 45 + -36n = 40 Add '-45' to each side of the equation. 45 + -45 + -36n = 40 + -45 Combine like terms: 45 + -45 = 0 0 + -36n = 40 + -45 -36n = 40 + -45 Combine like terms: 40 + -45 = -5 -36n = -5 Divide each side by '-36'. n = 0.1388888889 Simplifying n = 0.1388888889
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