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Simplifying 2v + 7v + 14 = 6v + 2 Reorder the terms: 14 + 2v + 7v = 6v + 2 Combine like terms: 2v + 7v = 9v 14 + 9v = 6v + 2 Reorder the terms: 14 + 9v = 2 + 6v Solving 14 + 9v = 2 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 14 + 9v + -6v = 2 + 6v + -6v Combine like terms: 9v + -6v = 3v 14 + 3v = 2 + 6v + -6v Combine like terms: 6v + -6v = 0 14 + 3v = 2 + 0 14 + 3v = 2 Add '-14' to each side of the equation. 14 + -14 + 3v = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 3v = 2 + -14 3v = 2 + -14 Combine like terms: 2 + -14 = -12 3v = -12 Divide each side by '3'. v = -4 Simplifying v = -4
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