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Simplifying -4v + 3(w + 2v) + -5w = 0 Reorder the terms: -4v + 3(2v + w) + -5w = 0 -4v + (2v * 3 + w * 3) + -5w = 0 -4v + (6v + 3w) + -5w = 0 Combine like terms: -4v + 6v = 2v 2v + 3w + -5w = 0 Combine like terms: 3w + -5w = -2w 2v + -2w = 0 Solving 2v + -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. 2v + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 2v + 0 = 0 + 2w 2v = 0 + 2w Remove the zero: 2v = 2w Divide each side by '2'. v = w Simplifying v = w
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