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Simplifying 9 + 5v = 2v + 12 Reorder the terms: 9 + 5v = 12 + 2v Solving 9 + 5v = 12 + 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. 9 + 5v + -2v = 12 + 2v + -2v Combine like terms: 5v + -2v = 3v 9 + 3v = 12 + 2v + -2v Combine like terms: 2v + -2v = 0 9 + 3v = 12 + 0 9 + 3v = 12 Add '-9' to each side of the equation. 9 + -9 + 3v = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 3v = 12 + -9 3v = 12 + -9 Combine like terms: 12 + -9 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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