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Simplifying 3(n + 7) = 6(n + 2) Reorder the terms: 3(7 + n) = 6(n + 2) (7 * 3 + n * 3) = 6(n + 2) (21 + 3n) = 6(n + 2) Reorder the terms: 21 + 3n = 6(2 + n) 21 + 3n = (2 * 6 + n * 6) 21 + 3n = (12 + 6n) Solving 21 + 3n = 12 + 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. 21 + 3n + -6n = 12 + 6n + -6n Combine like terms: 3n + -6n = -3n 21 + -3n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 21 + -3n = 12 + 0 21 + -3n = 12 Add '-21' to each side of the equation. 21 + -21 + -3n = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -3n = 12 + -21 -3n = 12 + -21 Combine like terms: 12 + -21 = -9 -3n = -9 Divide each side by '-3'. n = 3 Simplifying n = 3
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