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Simplifying 2n + 12n = 2(n + 12) Combine like terms: 2n + 12n = 14n 14n = 2(n + 12) Reorder the terms: 14n = 2(12 + n) 14n = (12 * 2 + n * 2) 14n = (24 + 2n) Solving 14n = 24 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 14n + -2n = 24 + 2n + -2n Combine like terms: 14n + -2n = 12n 12n = 24 + 2n + -2n Combine like terms: 2n + -2n = 0 12n = 24 + 0 12n = 24 Divide each side by '12'. n = 2 Simplifying n = 2
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