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Simplifying 3(2n + 5) = 3(3n + 7) Reorder the terms: 3(5 + 2n) = 3(3n + 7) (5 * 3 + 2n * 3) = 3(3n + 7) (15 + 6n) = 3(3n + 7) Reorder the terms: 15 + 6n = 3(7 + 3n) 15 + 6n = (7 * 3 + 3n * 3) 15 + 6n = (21 + 9n) Solving 15 + 6n = 21 + 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. 15 + 6n + -9n = 21 + 9n + -9n Combine like terms: 6n + -9n = -3n 15 + -3n = 21 + 9n + -9n Combine like terms: 9n + -9n = 0 15 + -3n = 21 + 0 15 + -3n = 21 Add '-15' to each side of the equation. 15 + -15 + -3n = 21 + -15 Combine like terms: 15 + -15 = 0 0 + -3n = 21 + -15 -3n = 21 + -15 Combine like terms: 21 + -15 = 6 -3n = 6 Divide each side by '-3'. n = -2 Simplifying n = -2
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