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Simplifying 9(2n + 1) = 9(5n + 2) + 4 Reorder the terms: 9(1 + 2n) = 9(5n + 2) + 4 (1 * 9 + 2n * 9) = 9(5n + 2) + 4 (9 + 18n) = 9(5n + 2) + 4 Reorder the terms: 9 + 18n = 9(2 + 5n) + 4 9 + 18n = (2 * 9 + 5n * 9) + 4 9 + 18n = (18 + 45n) + 4 Reorder the terms: 9 + 18n = 18 + 4 + 45n Combine like terms: 18 + 4 = 22 9 + 18n = 22 + 45n Solving 9 + 18n = 22 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 9 + 18n + -45n = 22 + 45n + -45n Combine like terms: 18n + -45n = -27n 9 + -27n = 22 + 45n + -45n Combine like terms: 45n + -45n = 0 9 + -27n = 22 + 0 9 + -27n = 22 Add '-9' to each side of the equation. 9 + -9 + -27n = 22 + -9 Combine like terms: 9 + -9 = 0 0 + -27n = 22 + -9 -27n = 22 + -9 Combine like terms: 22 + -9 = 13 -27n = 13 Divide each side by '-27'. n = -0.4814814815 Simplifying n = -0.4814814815
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