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Simplifying 3(3n + 2) + -6n = 12 Reorder the terms: 3(2 + 3n) + -6n = 12 (2 * 3 + 3n * 3) + -6n = 12 (6 + 9n) + -6n = 12 Combine like terms: 9n + -6n = 3n 6 + 3n = 12 Solving 6 + 3n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3n = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 3n = 12 + -6 3n = 12 + -6 Combine like terms: 12 + -6 = 6 3n = 6 Divide each side by '3'. n = 2 Simplifying n = 2
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