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Simplifying -8(4 + -4n) + -8n = 2(2n + 4) (4 * -8 + -4n * -8) + -8n = 2(2n + 4) (-32 + 32n) + -8n = 2(2n + 4) Combine like terms: 32n + -8n = 24n -32 + 24n = 2(2n + 4) Reorder the terms: -32 + 24n = 2(4 + 2n) -32 + 24n = (4 * 2 + 2n * 2) -32 + 24n = (8 + 4n) Solving -32 + 24n = 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. -32 + 24n + -4n = 8 + 4n + -4n Combine like terms: 24n + -4n = 20n -32 + 20n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 -32 + 20n = 8 + 0 -32 + 20n = 8 Add '32' to each side of the equation. -32 + 32 + 20n = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 20n = 8 + 32 20n = 8 + 32 Combine like terms: 8 + 32 = 40 20n = 40 Divide each side by '20'. n = 2 Simplifying n = 2
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