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Simplifying 5 + 14n + -2 = 7n + 27 + -5n Reorder the terms: 5 + -2 + 14n = 7n + 27 + -5n Combine like terms: 5 + -2 = 3 3 + 14n = 7n + 27 + -5n Reorder the terms: 3 + 14n = 27 + 7n + -5n Combine like terms: 7n + -5n = 2n 3 + 14n = 27 + 2n Solving 3 + 14n = 27 + 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. 3 + 14n + -2n = 27 + 2n + -2n Combine like terms: 14n + -2n = 12n 3 + 12n = 27 + 2n + -2n Combine like terms: 2n + -2n = 0 3 + 12n = 27 + 0 3 + 12n = 27 Add '-3' to each side of the equation. 3 + -3 + 12n = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 12n = 27 + -3 12n = 27 + -3 Combine like terms: 27 + -3 = 24 12n = 24 Divide each side by '12'. n = 2 Simplifying n = 2
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