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Simplifying -9 + 2v = 4v + -5v Combine like terms: 4v + -5v = -1v -9 + 2v = -1v Solving -9 + 2v = -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -9 + 2v + v = -1v + v Combine like terms: 2v + v = 3v -9 + 3v = -1v + v Combine like terms: -1v + v = 0 -9 + 3v = 0 Add '9' to each side of the equation. -9 + 9 + 3v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 3v = 0 + 9 3v = 0 + 9 Combine like terms: 0 + 9 = 9 3v = 9 Divide each side by '3'. v = 3 Simplifying v = 3
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