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