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Simplifying 5w + 2v + -1v + 3w = 0 Reorder the terms: 2v + -1v + 5w + 3w = 0 Combine like terms: 2v + -1v = 1v 1v + 5w + 3w = 0 Combine like terms: 5w + 3w = 8w 1v + 8w = 0 Solving 1v + 8w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8w' to each side of the equation. 1v + 8w + -8w = 0 + -8w Combine like terms: 8w + -8w = 0 1v + 0 = 0 + -8w 1v = 0 + -8w Remove the zero: 1v = -8w Divide each side by '1'. v = -8w Simplifying v = -8w
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