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Simplifying 2(n + 30) = 14n Reorder the terms: 2(30 + n) = 14n (30 * 2 + n * 2) = 14n (60 + 2n) = 14n Solving 60 + 2n = 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 60 + 2n + -14n = 14n + -14n Combine like terms: 2n + -14n = -12n 60 + -12n = 14n + -14n Combine like terms: 14n + -14n = 0 60 + -12n = 0 Add '-60' to each side of the equation. 60 + -60 + -12n = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -12n = 0 + -60 -12n = 0 + -60 Combine like terms: 0 + -60 = -60 -12n = -60 Divide each side by '-12'. n = 5 Simplifying n = 5
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