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Simplifying 3(3n + 5) = 6(n + 5) Reorder the terms: 3(5 + 3n) = 6(n + 5) (5 * 3 + 3n * 3) = 6(n + 5) (15 + 9n) = 6(n + 5) Reorder the terms: 15 + 9n = 6(5 + n) 15 + 9n = (5 * 6 + n * 6) 15 + 9n = (30 + 6n) Solving 15 + 9n = 30 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 15 + 9n + -6n = 30 + 6n + -6n Combine like terms: 9n + -6n = 3n 15 + 3n = 30 + 6n + -6n Combine like terms: 6n + -6n = 0 15 + 3n = 30 + 0 15 + 3n = 30 Add '-15' to each side of the equation. 15 + -15 + 3n = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 3n = 30 + -15 3n = 30 + -15 Combine like terms: 30 + -15 = 15 3n = 15 Divide each side by '3'. n = 5 Simplifying n = 5
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