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Simplifying 4v + 12 = 2v + 12 + -8 Reorder the terms: 12 + 4v = 2v + 12 + -8 Reorder the terms: 12 + 4v = 12 + -8 + 2v Combine like terms: 12 + -8 = 4 12 + 4v = 4 + 2v Solving 12 + 4v = 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 + 4v + -2v = 4 + 2v + -2v Combine like terms: 4v + -2v = 2v 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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