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Simplifying 5(3n + 4) = 7(7n + 1) + 7 Reorder the terms: 5(4 + 3n) = 7(7n + 1) + 7 (4 * 5 + 3n * 5) = 7(7n + 1) + 7 (20 + 15n) = 7(7n + 1) + 7 Reorder the terms: 20 + 15n = 7(1 + 7n) + 7 20 + 15n = (1 * 7 + 7n * 7) + 7 20 + 15n = (7 + 49n) + 7 Reorder the terms: 20 + 15n = 7 + 7 + 49n Combine like terms: 7 + 7 = 14 20 + 15n = 14 + 49n Solving 20 + 15n = 14 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. 20 + 15n + -49n = 14 + 49n + -49n Combine like terms: 15n + -49n = -34n 20 + -34n = 14 + 49n + -49n Combine like terms: 49n + -49n = 0 20 + -34n = 14 + 0 20 + -34n = 14 Add '-20' to each side of the equation. 20 + -20 + -34n = 14 + -20 Combine like terms: 20 + -20 = 0 0 + -34n = 14 + -20 -34n = 14 + -20 Combine like terms: 14 + -20 = -6 -34n = -6 Divide each side by '-34'. n = 0.1764705882 Simplifying n = 0.1764705882
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