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Simplifying 14 + -2v + 8 = 6 + -6 + -9v + 6v Reorder the terms: 14 + 8 + -2v = 6 + -6 + -9v + 6v Combine like terms: 14 + 8 = 22 22 + -2v = 6 + -6 + -9v + 6v Combine like terms: 6 + -6 = 0 22 + -2v = 0 + -9v + 6v 22 + -2v = -9v + 6v Combine like terms: -9v + 6v = -3v 22 + -2v = -3v Solving 22 + -2v = -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 22 + -2v + 3v = -3v + 3v Combine like terms: -2v + 3v = 1v 22 + 1v = -3v + 3v Combine like terms: -3v + 3v = 0 22 + 1v = 0 Add '-22' to each side of the equation. 22 + -22 + 1v = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 1v = 0 + -22 1v = 0 + -22 Combine like terms: 0 + -22 = -22 1v = -22 Divide each side by '1'. v = -22 Simplifying v = -22
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