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Simplifying 6(3n + 5) = 9(5n + 1) + 8 Reorder the terms: 6(5 + 3n) = 9(5n + 1) + 8 (5 * 6 + 3n * 6) = 9(5n + 1) + 8 (30 + 18n) = 9(5n + 1) + 8 Reorder the terms: 30 + 18n = 9(1 + 5n) + 8 30 + 18n = (1 * 9 + 5n * 9) + 8 30 + 18n = (9 + 45n) + 8 Reorder the terms: 30 + 18n = 9 + 8 + 45n Combine like terms: 9 + 8 = 17 30 + 18n = 17 + 45n Solving 30 + 18n = 17 + 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. 30 + 18n + -45n = 17 + 45n + -45n Combine like terms: 18n + -45n = -27n 30 + -27n = 17 + 45n + -45n Combine like terms: 45n + -45n = 0 30 + -27n = 17 + 0 30 + -27n = 17 Add '-30' to each side of the equation. 30 + -30 + -27n = 17 + -30 Combine like terms: 30 + -30 = 0 0 + -27n = 17 + -30 -27n = 17 + -30 Combine like terms: 17 + -30 = -13 -27n = -13 Divide each side by '-27'. n = 0.4814814815 Simplifying n = 0.4814814815
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