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Simplifying v + 6 + 2v = v + 22 Reorder the terms: 6 + v + 2v = v + 22 Combine like terms: v + 2v = 3v 6 + 3v = v + 22 Reorder the terms: 6 + 3v = 22 + v Solving 6 + 3v = 22 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 6 + 3v + -1v = 22 + v + -1v Combine like terms: 3v + -1v = 2v 6 + 2v = 22 + v + -1v Combine like terms: v + -1v = 0 6 + 2v = 22 + 0 6 + 2v = 22 Add '-6' to each side of the equation. 6 + -6 + 2v = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 2v = 22 + -6 2v = 22 + -6 Combine like terms: 22 + -6 = 16 2v = 16 Divide each side by '2'. v = 8 Simplifying v = 8
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