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Simplifying 5w + -2v + 9w + -5v = 0 Reorder the terms: -2v + -5v + 5w + 9w = 0 Combine like terms: -2v + -5v = -7v -7v + 5w + 9w = 0 Combine like terms: 5w + 9w = 14w -7v + 14w = 0 Solving -7v + 14w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14w' to each side of the equation. -7v + 14w + -14w = 0 + -14w Combine like terms: 14w + -14w = 0 -7v + 0 = 0 + -14w -7v = 0 + -14w Remove the zero: -7v = -14w Divide each side by '-7'. v = 2w Simplifying v = 2w
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