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Simplifying 3v + 5 = -4v + 2v Reorder the terms: 5 + 3v = -4v + 2v Combine like terms: -4v + 2v = -2v 5 + 3v = -2v Solving 5 + 3v = -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. 5 + 3v + 2v = -2v + 2v Combine like terms: 3v + 2v = 5v 5 + 5v = -2v + 2v Combine like terms: -2v + 2v = 0 5 + 5v = 0 Add '-5' to each side of the equation. 5 + -5 + 5v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5v = 0 + -5 5v = 0 + -5 Combine like terms: 0 + -5 = -5 5v = -5 Divide each side by '5'. v = -1 Simplifying v = -1
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