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Simplifying -1(2v + -1w) + -1(4w + 4v) = 0 (2v * -1 + -1w * -1) + -1(4w + 4v) = 0 (-2v + 1w) + -1(4w + 4v) = 0 Reorder the terms: -2v + 1w + -1(4v + 4w) = 0 -2v + 1w + (4v * -1 + 4w * -1) = 0 -2v + 1w + (-4v + -4w) = 0 Reorder the terms: -2v + -4v + 1w + -4w = 0 Combine like terms: -2v + -4v = -6v -6v + 1w + -4w = 0 Combine like terms: 1w + -4w = -3w -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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