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Simplifying 4v + -12 + -6v = 12 + -3v Reorder the terms: -12 + 4v + -6v = 12 + -3v Combine like terms: 4v + -6v = -2v -12 + -2v = 12 + -3v Solving -12 + -2v = 12 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -12 + -2v + 3v = 12 + -3v + 3v Combine like terms: -2v + 3v = 1v -12 + 1v = 12 + -3v + 3v Combine like terms: -3v + 3v = 0 -12 + 1v = 12 + 0 -12 + 1v = 12 Add '12' to each side of the equation. -12 + 12 + 1v = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 1v = 12 + 12 1v = 12 + 12 Combine like terms: 12 + 12 = 24 1v = 24 Divide each side by '1'. v = 24 Simplifying v = 24
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