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Simplifying -12 = v + -4 + -3v Reorder the terms: -12 = -4 + v + -3v Combine like terms: v + -3v = -2v -12 = -4 + -2v Solving -12 = -4 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -12 + 2v = -4 + -2v + 2v Combine like terms: -2v + 2v = 0 -12 + 2v = -4 + 0 -12 + 2v = -4 Add '12' to each side of the equation. -12 + 12 + 2v = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 2v = -4 + 12 2v = -4 + 12 Combine like terms: -4 + 12 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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