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Simplifying (3v + -1w) = v Remove parenthesis around (3v + -1w) 3v + -1w = v Solving 3v + -1w = v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 3v + -1v + -1w = v + -1v Combine like terms: 3v + -1v = 2v 2v + -1w = v + -1v Combine like terms: v + -1v = 0 2v + -1w = 0 Add 'w' to each side of the equation. 2v + -1w + w = 0 + w Combine like terms: -1w + w = 0 2v + 0 = 0 + w 2v = 0 + w Remove the zero: 2v = w Divide each side by '2'. v = 0.5w Simplifying v = 0.5w
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