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Simplifying 3v + 8 = 8 + 2 + v Reorder the terms: 8 + 3v = 8 + 2 + v Combine like terms: 8 + 2 = 10 8 + 3v = 10 + v Solving 8 + 3v = 10 + 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. 8 + 3v + -1v = 10 + v + -1v Combine like terms: 3v + -1v = 2v 8 + 2v = 10 + v + -1v Combine like terms: v + -1v = 0 8 + 2v = 10 + 0 8 + 2v = 10 Add '-8' to each side of the equation. 8 + -8 + 2v = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 2v = 10 + -8 2v = 10 + -8 Combine like terms: 10 + -8 = 2 2v = 2 Divide each side by '2'. v = 1 Simplifying v = 1
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