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Simplifying 5v + 2v + -1v + 3w = 0 Combine like terms: 5v + 2v = 7v 7v + -1v + 3w = 0 Combine like terms: 7v + -1v = 6v 6v + 3w = 0 Solving 6v + 3w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3w' to each side of the equation. 6v + 3w + -3w = 0 + -3w Combine like terms: 3w + -3w = 0 6v + 0 = 0 + -3w 6v = 0 + -3w Remove the zero: 6v = -3w Divide each side by '6'. v = -0.5w Simplifying v = -0.5w
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