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