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Simplifying -4v + 2(v + -7) = -32 Reorder the terms: -4v + 2(-7 + v) = -32 -4v + (-7 * 2 + v * 2) = -32 -4v + (-14 + 2v) = -32 Reorder the terms: -14 + -4v + 2v = -32 Combine like terms: -4v + 2v = -2v -14 + -2v = -32 Solving -14 + -2v = -32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -2v = -32 + 14 Combine like terms: -14 + 14 = 0 0 + -2v = -32 + 14 -2v = -32 + 14 Combine like terms: -32 + 14 = -18 -2v = -18 Divide each side by '-2'. v = 9 Simplifying v = 9
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