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Simplifying 2(n + 7) = 4(2 + -1n) Reorder the terms: 2(7 + n) = 4(2 + -1n) (7 * 2 + n * 2) = 4(2 + -1n) (14 + 2n) = 4(2 + -1n) 14 + 2n = (2 * 4 + -1n * 4) 14 + 2n = (8 + -4n) Solving 14 + 2n = 8 + -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 = 8 + -4n + 4n Combine like terms: 2n + 4n = 6n 14 + 6n = 8 + -4n + 4n Combine like terms: -4n + 4n = 0 14 + 6n = 8 + 0 14 + 6n = 8 Add '-14' to each side of the equation. 14 + -14 + 6n = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 6n = 8 + -14 6n = 8 + -14 Combine like terms: 8 + -14 = -6 6n = -6 Divide each side by '6'. n = -1 Simplifying n = -1
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