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Simplifying -4(3v + -4) = 32 + -8v Reorder the terms: -4(-4 + 3v) = 32 + -8v (-4 * -4 + 3v * -4) = 32 + -8v (16 + -12v) = 32 + -8v Solving 16 + -12v = 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. 16 + -12v + 8v = 32 + -8v + 8v Combine like terms: -12v + 8v = -4v 16 + -4v = 32 + -8v + 8v Combine like terms: -8v + 8v = 0 16 + -4v = 32 + 0 16 + -4v = 32 Add '-16' to each side of the equation. 16 + -16 + -4v = 32 + -16 Combine like terms: 16 + -16 = 0 0 + -4v = 32 + -16 -4v = 32 + -16 Combine like terms: 32 + -16 = 16 -4v = 16 Divide each side by '-4'. v = -4 Simplifying v = -4
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