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Simplifying 9(2n + 3) = 7(5n + 3) + 2 Reorder the terms: 9(3 + 2n) = 7(5n + 3) + 2 (3 * 9 + 2n * 9) = 7(5n + 3) + 2 (27 + 18n) = 7(5n + 3) + 2 Reorder the terms: 27 + 18n = 7(3 + 5n) + 2 27 + 18n = (3 * 7 + 5n * 7) + 2 27 + 18n = (21 + 35n) + 2 Reorder the terms: 27 + 18n = 21 + 2 + 35n Combine like terms: 21 + 2 = 23 27 + 18n = 23 + 35n Solving 27 + 18n = 23 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 27 + 18n + -35n = 23 + 35n + -35n Combine like terms: 18n + -35n = -17n 27 + -17n = 23 + 35n + -35n Combine like terms: 35n + -35n = 0 27 + -17n = 23 + 0 27 + -17n = 23 Add '-27' to each side of the equation. 27 + -27 + -17n = 23 + -27 Combine like terms: 27 + -27 = 0 0 + -17n = 23 + -27 -17n = 23 + -27 Combine like terms: 23 + -27 = -4 -17n = -4 Divide each side by '-17'. n = 0.2352941176 Simplifying n = 0.2352941176
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