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Simplifying 4 + 12n + -2 = 9n + 14 + -3n Reorder the terms: 4 + -2 + 12n = 9n + 14 + -3n Combine like terms: 4 + -2 = 2 2 + 12n = 9n + 14 + -3n Reorder the terms: 2 + 12n = 14 + 9n + -3n Combine like terms: 9n + -3n = 6n 2 + 12n = 14 + 6n Solving 2 + 12n = 14 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 2 + 12n + -6n = 14 + 6n + -6n Combine like terms: 12n + -6n = 6n 2 + 6n = 14 + 6n + -6n Combine like terms: 6n + -6n = 0 2 + 6n = 14 + 0 2 + 6n = 14 Add '-2' to each side of the equation. 2 + -2 + 6n = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 6n = 14 + -2 6n = 14 + -2 Combine like terms: 14 + -2 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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