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Simplifying 8 = 8v + -4(n + 8) Reorder the terms: 8 = 8v + -4(8 + n) 8 = 8v + (8 * -4 + n * -4) 8 = 8v + (-32 + -4n) Reorder the terms: 8 = -32 + -4n + 8v Solving 8 = -32 + -4n + 8v 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 + 4n = -32 + -4n + 4n + 8v Combine like terms: -4n + 4n = 0 8 + 4n = -32 + 0 + 8v 8 + 4n = -32 + 8v Add '-8' to each side of the equation. 8 + -8 + 4n = -32 + -8 + 8v Combine like terms: 8 + -8 = 0 0 + 4n = -32 + -8 + 8v 4n = -32 + -8 + 8v Combine like terms: -32 + -8 = -40 4n = -40 + 8v Divide each side by '4'. n = -10 + 2v Simplifying n = -10 + 2v
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