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Simplifying -2(n + -4) = 4(3 + -1n) Reorder the terms: -2(-4 + n) = 4(3 + -1n) (-4 * -2 + n * -2) = 4(3 + -1n) (8 + -2n) = 4(3 + -1n) 8 + -2n = (3 * 4 + -1n * 4) 8 + -2n = (12 + -4n) Solving 8 + -2n = 12 + -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. 8 + -2n + 4n = 12 + -4n + 4n Combine like terms: -2n + 4n = 2n 8 + 2n = 12 + -4n + 4n Combine like terms: -4n + 4n = 0 8 + 2n = 12 + 0 8 + 2n = 12 Add '-8' to each side of the equation. 8 + -8 + 2n = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2n = 12 + -8 2n = 12 + -8 Combine like terms: 12 + -8 = 4 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
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