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Simplifying 6v + 23 + -4v = 22 + 14v + -2 Reorder the terms: 23 + 6v + -4v = 22 + 14v + -2 Combine like terms: 6v + -4v = 2v 23 + 2v = 22 + 14v + -2 Reorder the terms: 23 + 2v = 22 + -2 + 14v Combine like terms: 22 + -2 = 20 23 + 2v = 20 + 14v Solving 23 + 2v = 20 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 23 + 2v + -14v = 20 + 14v + -14v Combine like terms: 2v + -14v = -12v 23 + -12v = 20 + 14v + -14v Combine like terms: 14v + -14v = 0 23 + -12v = 20 + 0 23 + -12v = 20 Add '-23' to each side of the equation. 23 + -23 + -12v = 20 + -23 Combine like terms: 23 + -23 = 0 0 + -12v = 20 + -23 -12v = 20 + -23 Combine like terms: 20 + -23 = -3 -12v = -3 Divide each side by '-12'. v = 0.25 Simplifying v = 0.25
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