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Simplifying 8 = 8v + -4(4v + 8) Reorder the terms: 8 = 8v + -4(8 + 4v) 8 = 8v + (8 * -4 + 4v * -4) 8 = 8v + (-32 + -16v) Reorder the terms: 8 = -32 + 8v + -16v Combine like terms: 8v + -16v = -8v 8 = -32 + -8v Solving 8 = -32 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 8 + 8v = -32 + -8v + 8v Combine like terms: -8v + 8v = 0 8 + 8v = -32 + 0 8 + 8v = -32 Add '-8' to each side of the equation. 8 + -8 + 8v = -32 + -8 Combine like terms: 8 + -8 = 0 0 + 8v = -32 + -8 8v = -32 + -8 Combine like terms: -32 + -8 = -40 8v = -40 Divide each side by '8'. v = -5 Simplifying v = -5
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