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Simplifying -2(v + 4) = 2v + -32 Reorder the terms: -2(4 + v) = 2v + -32 (4 * -2 + v * -2) = 2v + -32 (-8 + -2v) = 2v + -32 Reorder the terms: -8 + -2v = -32 + 2v Solving -8 + -2v = -32 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -8 + -2v + -2v = -32 + 2v + -2v Combine like terms: -2v + -2v = -4v -8 + -4v = -32 + 2v + -2v Combine like terms: 2v + -2v = 0 -8 + -4v = -32 + 0 -8 + -4v = -32 Add '8' to each side of the equation. -8 + 8 + -4v = -32 + 8 Combine like terms: -8 + 8 = 0 0 + -4v = -32 + 8 -4v = -32 + 8 Combine like terms: -32 + 8 = -24 -4v = -24 Divide each side by '-4'. v = 6 Simplifying v = 6
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