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Simplifying v + -2v + 8 = 8 + 2v + v Reorder the terms: 8 + v + -2v = 8 + 2v + v Combine like terms: v + -2v = -1v 8 + -1v = 8 + 2v + v Combine like terms: 2v + v = 3v 8 + -1v = 8 + 3v Add '-8' to each side of the equation. 8 + -8 + -1v = 8 + -8 + 3v Combine like terms: 8 + -8 = 0 0 + -1v = 8 + -8 + 3v -1v = 8 + -8 + 3v Combine like terms: 8 + -8 = 0 -1v = 0 + 3v -1v = 3v Solving -1v = 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. -1v + -3v = 3v + -3v Combine like terms: -1v + -3v = -4v -4v = 3v + -3v Combine like terms: 3v + -3v = 0 -4v = 0 Divide each side by '-4'. v = 0 Simplifying v = 0
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