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Simplifying 4v + -6 = 2v + 12 Reorder the terms: -6 + 4v = 2v + 12 Reorder the terms: -6 + 4v = 12 + 2v Solving -6 + 4v = 12 + 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. -6 + 4v + -2v = 12 + 2v + -2v Combine like terms: 4v + -2v = 2v -6 + 2v = 12 + 2v + -2v Combine like terms: 2v + -2v = 0 -6 + 2v = 12 + 0 -6 + 2v = 12 Add '6' to each side of the equation. -6 + 6 + 2v = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 2v = 12 + 6 2v = 12 + 6 Combine like terms: 12 + 6 = 18 2v = 18 Divide each side by '2'. v = 9 Simplifying v = 9
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