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Simplifying 7(n + 3) = 2(15 + 2n) Reorder the terms: 7(3 + n) = 2(15 + 2n) (3 * 7 + n * 7) = 2(15 + 2n) (21 + 7n) = 2(15 + 2n) 21 + 7n = (15 * 2 + 2n * 2) 21 + 7n = (30 + 4n) Solving 21 + 7n = 30 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 21 + 7n + -4n = 30 + 4n + -4n Combine like terms: 7n + -4n = 3n 21 + 3n = 30 + 4n + -4n Combine like terms: 4n + -4n = 0 21 + 3n = 30 + 0 21 + 3n = 30 Add '-21' to each side of the equation. 21 + -21 + 3n = 30 + -21 Combine like terms: 21 + -21 = 0 0 + 3n = 30 + -21 3n = 30 + -21 Combine like terms: 30 + -21 = 9 3n = 9 Divide each side by '3'. n = 3 Simplifying n = 3
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