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Simplifying 3v + 8 = 8 + 2v + 2 Reorder the terms: 8 + 3v = 8 + 2v + 2 Reorder the terms: 8 + 3v = 8 + 2 + 2v Combine like terms: 8 + 2 = 10 8 + 3v = 10 + 2v Solving 8 + 3v = 10 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 8 + 3v + -2v = 10 + 2v + -2v Combine like terms: 3v + -2v = 1v 8 + 1v = 10 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + 1v = 10 + 0 8 + 1v = 10 Add '-8' to each side of the equation. 8 + -8 + 1v = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 1v = 10 + -8 1v = 10 + -8 Combine like terms: 10 + -8 = 2 1v = 2 Divide each side by '1'. v = 2 Simplifying v = 2
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