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Simplifying 2v + -5x + 3v + w = 0 Reorder the terms: 2v + 3v + w + -5x = 0 Combine like terms: 2v + 3v = 5v 5v + w + -5x = 0 Solving 5v + w + -5x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1w' to each side of the equation. 5v + w + -1w + -5x = 0 + -1w Combine like terms: w + -1w = 0 5v + 0 + -5x = 0 + -1w 5v + -5x = 0 + -1w Remove the zero: 5v + -5x = -1w Add '5x' to each side of the equation. 5v + -5x + 5x = -1w + 5x Combine like terms: -5x + 5x = 0 5v + 0 = -1w + 5x 5v = -1w + 5x Divide each side by '5'. v = -0.2w + x Simplifying v = -0.2w + x
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