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Simplifying 12 + 6v + -2v = -2v + 4v Combine like terms: 6v + -2v = 4v 12 + 4v = -2v + 4v Combine like terms: -2v + 4v = 2v 12 + 4v = 2v Solving 12 + 4v = 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 + 4v + -2v = 2v + -2v Combine like terms: 4v + -2v = 2v 12 + 2v = 2v + -2v Combine like terms: 2v + -2v = 0 12 + 2v = 0 Add '-12' to each side of the equation. 12 + -12 + 2v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2v = 0 + -12 2v = 0 + -12 Combine like terms: 0 + -12 = -12 2v = -12 Divide each side by '2'. v = -6 Simplifying v = -6
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