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Simplifying 6n = 3(n + 7) Reorder the terms: 6n = 3(7 + n) 6n = (7 * 3 + n * 3) 6n = (21 + 3n) Solving 6n = 21 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 6n + -3n = 21 + 3n + -3n Combine like terms: 6n + -3n = 3n 3n = 21 + 3n + -3n Combine like terms: 3n + -3n = 0 3n = 21 + 0 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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