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Simplifying 7v + -9w + -1v = 6v + 4w + -4v Reorder the terms: 7v + -1v + -9w = 6v + 4w + -4v Combine like terms: 7v + -1v = 6v 6v + -9w = 6v + 4w + -4v Reorder the terms: 6v + -9w = 6v + -4v + 4w Combine like terms: 6v + -4v = 2v 6v + -9w = 2v + 4w Solving 6v + -9w = 2v + 4w 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. 6v + -2v + -9w = 2v + -2v + 4w Combine like terms: 6v + -2v = 4v 4v + -9w = 2v + -2v + 4w Combine like terms: 2v + -2v = 0 4v + -9w = 0 + 4w 4v + -9w = 4w Add '9w' to each side of the equation. 4v + -9w + 9w = 4w + 9w Combine like terms: -9w + 9w = 0 4v + 0 = 4w + 9w 4v = 4w + 9w Combine like terms: 4w + 9w = 13w 4v = 13w Divide each side by '4'. v = 3.25w Simplifying v = 3.25w
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