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Simplifying -3v + 8 = -4(8 + 2v) Reorder the terms: 8 + -3v = -4(8 + 2v) 8 + -3v = (8 * -4 + 2v * -4) 8 + -3v = (-32 + -8v) Solving 8 + -3v = -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 + -3v + 8v = -32 + -8v + 8v Combine like terms: -3v + 8v = 5v 8 + 5v = -32 + -8v + 8v Combine like terms: -8v + 8v = 0 8 + 5v = -32 + 0 8 + 5v = -32 Add '-8' to each side of the equation. 8 + -8 + 5v = -32 + -8 Combine like terms: 8 + -8 = 0 0 + 5v = -32 + -8 5v = -32 + -8 Combine like terms: -32 + -8 = -40 5v = -40 Divide each side by '5'. v = -8 Simplifying v = -8
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