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Simplifying -4n + 2(7 + 3n) = -4 + -4n -4n + (7 * 2 + 3n * 2) = -4 + -4n -4n + (14 + 6n) = -4 + -4n Reorder the terms: 14 + -4n + 6n = -4 + -4n Combine like terms: -4n + 6n = 2n 14 + 2n = -4 + -4n Solving 14 + 2n = -4 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 14 + 2n + 4n = -4 + -4n + 4n Combine like terms: 2n + 4n = 6n 14 + 6n = -4 + -4n + 4n Combine like terms: -4n + 4n = 0 14 + 6n = -4 + 0 14 + 6n = -4 Add '-14' to each side of the equation. 14 + -14 + 6n = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 6n = -4 + -14 6n = -4 + -14 Combine like terms: -4 + -14 = -18 6n = -18 Divide each side by '6'. n = -3 Simplifying n = -3
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