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Simplifying 8 = -8v + -4(v + 8) Reorder the terms: 8 = -8v + -4(8 + v) 8 = -8v + (8 * -4 + v * -4) 8 = -8v + (-32 + -4v) Reorder the terms: 8 = -32 + -8v + -4v Combine like terms: -8v + -4v = -12v 8 = -32 + -12v Solving 8 = -32 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 8 + 12v = -32 + -12v + 12v Combine like terms: -12v + 12v = 0 8 + 12v = -32 + 0 8 + 12v = -32 Add '-8' to each side of the equation. 8 + -8 + 12v = -32 + -8 Combine like terms: 8 + -8 = 0 0 + 12v = -32 + -8 12v = -32 + -8 Combine like terms: -32 + -8 = -40 12v = -40 Divide each side by '12'. v = -3.333333333 Simplifying v = -3.333333333
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