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Simplifying 9(2n + 3) = 7(8n + 3) + 1 Reorder the terms: 9(3 + 2n) = 7(8n + 3) + 1 (3 * 9 + 2n * 9) = 7(8n + 3) + 1 (27 + 18n) = 7(8n + 3) + 1 Reorder the terms: 27 + 18n = 7(3 + 8n) + 1 27 + 18n = (3 * 7 + 8n * 7) + 1 27 + 18n = (21 + 56n) + 1 Reorder the terms: 27 + 18n = 21 + 1 + 56n Combine like terms: 21 + 1 = 22 27 + 18n = 22 + 56n Solving 27 + 18n = 22 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 27 + 18n + -56n = 22 + 56n + -56n Combine like terms: 18n + -56n = -38n 27 + -38n = 22 + 56n + -56n Combine like terms: 56n + -56n = 0 27 + -38n = 22 + 0 27 + -38n = 22 Add '-27' to each side of the equation. 27 + -27 + -38n = 22 + -27 Combine like terms: 27 + -27 = 0 0 + -38n = 22 + -27 -38n = 22 + -27 Combine like terms: 22 + -27 = -5 -38n = -5 Divide each side by '-38'. n = 0.1315789474 Simplifying n = 0.1315789474
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