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Simplifying 7(2n + 5) = 3(3n + 15) Reorder the terms: 7(5 + 2n) = 3(3n + 15) (5 * 7 + 2n * 7) = 3(3n + 15) (35 + 14n) = 3(3n + 15) Reorder the terms: 35 + 14n = 3(15 + 3n) 35 + 14n = (15 * 3 + 3n * 3) 35 + 14n = (45 + 9n) Solving 35 + 14n = 45 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 35 + 14n + -9n = 45 + 9n + -9n Combine like terms: 14n + -9n = 5n 35 + 5n = 45 + 9n + -9n Combine like terms: 9n + -9n = 0 35 + 5n = 45 + 0 35 + 5n = 45 Add '-35' to each side of the equation. 35 + -35 + 5n = 45 + -35 Combine like terms: 35 + -35 = 0 0 + 5n = 45 + -35 5n = 45 + -35 Combine like terms: 45 + -35 = 10 5n = 10 Divide each side by '5'. n = 2 Simplifying n = 2
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