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Simplifying 3v + 14 = 9v + -22 Reorder the terms: 14 + 3v = 9v + -22 Reorder the terms: 14 + 3v = -22 + 9v Solving 14 + 3v = -22 + 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 + 3v + -9v = -22 + 9v + -9v Combine like terms: 3v + -9v = -6v 14 + -6v = -22 + 9v + -9v Combine like terms: 9v + -9v = 0 14 + -6v = -22 + 0 14 + -6v = -22 Add '-14' to each side of the equation. 14 + -14 + -6v = -22 + -14 Combine like terms: 14 + -14 = 0 0 + -6v = -22 + -14 -6v = -22 + -14 Combine like terms: -22 + -14 = -36 -6v = -36 Divide each side by '-6'. v = 6 Simplifying v = 6
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