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Simplifying -32 = 6(v + -4) + -2v Reorder the terms: -32 = 6(-4 + v) + -2v -32 = (-4 * 6 + v * 6) + -2v -32 = (-24 + 6v) + -2v Combine like terms: 6v + -2v = 4v -32 = -24 + 4v Solving -32 = -24 + 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. -32 + -4v = -24 + 4v + -4v Combine like terms: 4v + -4v = 0 -32 + -4v = -24 + 0 -32 + -4v = -24 Add '32' to each side of the equation. -32 + 32 + -4v = -24 + 32 Combine like terms: -32 + 32 = 0 0 + -4v = -24 + 32 -4v = -24 + 32 Combine like terms: -24 + 32 = 8 -4v = 8 Divide each side by '-4'. v = -2 Simplifying v = -2
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