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Simplifying -8(2v + 7) = -32 + -4v Reorder the terms: -8(7 + 2v) = -32 + -4v (7 * -8 + 2v * -8) = -32 + -4v (-56 + -16v) = -32 + -4v Solving -56 + -16v = -32 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -56 + -16v + 4v = -32 + -4v + 4v Combine like terms: -16v + 4v = -12v -56 + -12v = -32 + -4v + 4v Combine like terms: -4v + 4v = 0 -56 + -12v = -32 + 0 -56 + -12v = -32 Add '56' to each side of the equation. -56 + 56 + -12v = -32 + 56 Combine like terms: -56 + 56 = 0 0 + -12v = -32 + 56 -12v = -32 + 56 Combine like terms: -32 + 56 = 24 -12v = 24 Divide each side by '-12'. v = -2 Simplifying v = -2
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