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Simplifying 6v + 14 = 4v + 28 Reorder the terms: 14 + 6v = 4v + 28 Reorder the terms: 14 + 6v = 28 + 4v Solving 14 + 6v = 28 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 14 + 6v + -4v = 28 + 4v + -4v Combine like terms: 6v + -4v = 2v 14 + 2v = 28 + 4v + -4v Combine like terms: 4v + -4v = 0 14 + 2v = 28 + 0 14 + 2v = 28 Add '-14' to each side of the equation. 14 + -14 + 2v = 28 + -14 Combine like terms: 14 + -14 = 0 0 + 2v = 28 + -14 2v = 28 + -14 Combine like terms: 28 + -14 = 14 2v = 14 Divide each side by '2'. v = 7 Simplifying v = 7
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