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Simplifying 3(3n + 1) = 7(7n + 5) + 5 Reorder the terms: 3(1 + 3n) = 7(7n + 5) + 5 (1 * 3 + 3n * 3) = 7(7n + 5) + 5 (3 + 9n) = 7(7n + 5) + 5 Reorder the terms: 3 + 9n = 7(5 + 7n) + 5 3 + 9n = (5 * 7 + 7n * 7) + 5 3 + 9n = (35 + 49n) + 5 Reorder the terms: 3 + 9n = 35 + 5 + 49n Combine like terms: 35 + 5 = 40 3 + 9n = 40 + 49n Solving 3 + 9n = 40 + 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. 3 + 9n + -49n = 40 + 49n + -49n Combine like terms: 9n + -49n = -40n 3 + -40n = 40 + 49n + -49n Combine like terms: 49n + -49n = 0 3 + -40n = 40 + 0 3 + -40n = 40 Add '-3' to each side of the equation. 3 + -3 + -40n = 40 + -3 Combine like terms: 3 + -3 = 0 0 + -40n = 40 + -3 -40n = 40 + -3 Combine like terms: 40 + -3 = 37 -40n = 37 Divide each side by '-40'. n = -0.925 Simplifying n = -0.925
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