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Simplifying -5v + 2(v + -4) = -32 Reorder the terms: -5v + 2(-4 + v) = -32 -5v + (-4 * 2 + v * 2) = -32 -5v + (-8 + 2v) = -32 Reorder the terms: -8 + -5v + 2v = -32 Combine like terms: -5v + 2v = -3v -8 + -3v = -32 Solving -8 + -3v = -32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3v = -32 + 8 Combine like terms: -8 + 8 = 0 0 + -3v = -32 + 8 -3v = -32 + 8 Combine like terms: -32 + 8 = -24 -3v = -24 Divide each side by '-3'. v = 8 Simplifying v = 8
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