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Simplifying 9(2n + 5) = 9(4n + 2) + 6 Reorder the terms: 9(5 + 2n) = 9(4n + 2) + 6 (5 * 9 + 2n * 9) = 9(4n + 2) + 6 (45 + 18n) = 9(4n + 2) + 6 Reorder the terms: 45 + 18n = 9(2 + 4n) + 6 45 + 18n = (2 * 9 + 4n * 9) + 6 45 + 18n = (18 + 36n) + 6 Reorder the terms: 45 + 18n = 18 + 6 + 36n Combine like terms: 18 + 6 = 24 45 + 18n = 24 + 36n Solving 45 + 18n = 24 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 45 + 18n + -36n = 24 + 36n + -36n Combine like terms: 18n + -36n = -18n 45 + -18n = 24 + 36n + -36n Combine like terms: 36n + -36n = 0 45 + -18n = 24 + 0 45 + -18n = 24 Add '-45' to each side of the equation. 45 + -45 + -18n = 24 + -45 Combine like terms: 45 + -45 = 0 0 + -18n = 24 + -45 -18n = 24 + -45 Combine like terms: 24 + -45 = -21 -18n = -21 Divide each side by '-18'. n = 1.166666667 Simplifying n = 1.166666667
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