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Simplifying -8v + 7v = -3v + 10 Combine like terms: -8v + 7v = -1v -1v = -3v + 10 Reorder the terms: -1v = 10 + -3v Solving -1v = 10 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -1v + 3v = 10 + -3v + 3v Combine like terms: -1v + 3v = 2v 2v = 10 + -3v + 3v Combine like terms: -3v + 3v = 0 2v = 10 + 0 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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