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Simplifying 5(3n + 4) = 7(7n + 5) + 9 Reorder the terms: 5(4 + 3n) = 7(7n + 5) + 9 (4 * 5 + 3n * 5) = 7(7n + 5) + 9 (20 + 15n) = 7(7n + 5) + 9 Reorder the terms: 20 + 15n = 7(5 + 7n) + 9 20 + 15n = (5 * 7 + 7n * 7) + 9 20 + 15n = (35 + 49n) + 9 Reorder the terms: 20 + 15n = 35 + 9 + 49n Combine like terms: 35 + 9 = 44 20 + 15n = 44 + 49n Solving 20 + 15n = 44 + 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 = 44 + 49n + -49n Combine like terms: 15n + -49n = -34n 20 + -34n = 44 + 49n + -49n Combine like terms: 49n + -49n = 0 20 + -34n = 44 + 0 20 + -34n = 44 Add '-20' to each side of the equation. 20 + -20 + -34n = 44 + -20 Combine like terms: 20 + -20 = 0 0 + -34n = 44 + -20 -34n = 44 + -20 Combine like terms: 44 + -20 = 24 -34n = 24 Divide each side by '-34'. n = -0.7058823529 Simplifying n = -0.7058823529
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