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Simplifying -6v + 2(v + -6) = -32 Reorder the terms: -6v + 2(-6 + v) = -32 -6v + (-6 * 2 + v * 2) = -32 -6v + (-12 + 2v) = -32 Reorder the terms: -12 + -6v + 2v = -32 Combine like terms: -6v + 2v = -4v -12 + -4v = -32 Solving -12 + -4v = -32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -4v = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -4v = -32 + 12 -4v = -32 + 12 Combine like terms: -32 + 12 = -20 -4v = -20 Divide each side by '-4'. v = 5 Simplifying v = 5
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