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Simplifying -8v + 6(v + -2) = -32 Reorder the terms: -8v + 6(-2 + v) = -32 -8v + (-2 * 6 + v * 6) = -32 -8v + (-12 + 6v) = -32 Reorder the terms: -12 + -8v + 6v = -32 Combine like terms: -8v + 6v = -2v -12 + -2v = -32 Solving -12 + -2v = -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 + -2v = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -2v = -32 + 12 -2v = -32 + 12 Combine like terms: -32 + 12 = -20 -2v = -20 Divide each side by '-2'. v = 10 Simplifying v = 10
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