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Simplifying 3(n + 4) + 2 = 2n Reorder the terms: 3(4 + n) + 2 = 2n (4 * 3 + n * 3) + 2 = 2n (12 + 3n) + 2 = 2n Reorder the terms: 12 + 2 + 3n = 2n Combine like terms: 12 + 2 = 14 14 + 3n = 2n Solving 14 + 3n = 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. 14 + 3n + -2n = 2n + -2n Combine like terms: 3n + -2n = 1n 14 + 1n = 2n + -2n Combine like terms: 2n + -2n = 0 14 + 1n = 0 Add '-14' to each side of the equation. 14 + -14 + 1n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1n = 0 + -14 1n = 0 + -14 Combine like terms: 0 + -14 = -14 1n = -14 Divide each side by '1'. n = -14 Simplifying n = -14
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