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Simplifying -6v + 2v = -3v + -6v + 15 Combine like terms: -6v + 2v = -4v -4v = -3v + -6v + 15 Reorder the terms: -4v = 15 + -3v + -6v Combine like terms: -3v + -6v = -9v -4v = 15 + -9v Solving -4v = 15 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -4v + 9v = 15 + -9v + 9v Combine like terms: -4v + 9v = 5v 5v = 15 + -9v + 9v Combine like terms: -9v + 9v = 0 5v = 15 + 0 5v = 15 Divide each side by '5'. v = 3 Simplifying v = 3
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