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Simplifying 12 + 5v = 2v + 13 Reorder the terms: 12 + 5v = 13 + 2v Solving 12 + 5v = 13 + 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. 12 + 5v + -2v = 13 + 2v + -2v Combine like terms: 5v + -2v = 3v 12 + 3v = 13 + 2v + -2v Combine like terms: 2v + -2v = 0 12 + 3v = 13 + 0 12 + 3v = 13 Add '-12' to each side of the equation. 12 + -12 + 3v = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 3v = 13 + -12 3v = 13 + -12 Combine like terms: 13 + -12 = 1 3v = 1 Divide each side by '3'. v = 0.3333333333 Simplifying v = 0.3333333333
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