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Simplifying 4v + 3w + 5v + -1w = 0 Reorder the terms: 4v + 5v + 3w + -1w = 0 Combine like terms: 4v + 5v = 9v 9v + 3w + -1w = 0 Combine like terms: 3w + -1w = 2w 9v + 2w = 0 Solving 9v + 2w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2w' to each side of the equation. 9v + 2w + -2w = 0 + -2w Combine like terms: 2w + -2w = 0 9v + 0 = 0 + -2w 9v = 0 + -2w Remove the zero: 9v = -2w Divide each side by '9'. v = -0.2222222222w Simplifying v = -0.2222222222w
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