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Simplifying 6v + 14 = 7v + 2v + -13 Reorder the terms: 14 + 6v = 7v + 2v + -13 Reorder the terms: 14 + 6v = -13 + 7v + 2v Combine like terms: 7v + 2v = 9v 14 + 6v = -13 + 9v Solving 14 + 6v = -13 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 14 + 6v + -9v = -13 + 9v + -9v Combine like terms: 6v + -9v = -3v 14 + -3v = -13 + 9v + -9v Combine like terms: 9v + -9v = 0 14 + -3v = -13 + 0 14 + -3v = -13 Add '-14' to each side of the equation. 14 + -14 + -3v = -13 + -14 Combine like terms: 14 + -14 = 0 0 + -3v = -13 + -14 -3v = -13 + -14 Combine like terms: -13 + -14 = -27 -3v = -27 Divide each side by '-3'. v = 9 Simplifying v = 9
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