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Simplifying -1(-1v + w) + (-1w + -4v) = 0 (-1v * -1 + w * -1) + (-1w + -4v) = 0 (1v + -1w) + (-1w + -4v) = 0 Reorder the terms: 1v + -1w + (-4v + -1w) = 0 Remove parenthesis around (-4v + -1w) 1v + -1w + -4v + -1w = 0 Reorder the terms: 1v + -4v + -1w + -1w = 0 Combine like terms: 1v + -4v = -3v -3v + -1w + -1w = 0 Combine like terms: -1w + -1w = -2w -3v + -2w = 0 Solving -3v + -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. -3v + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 -3v + 0 = 0 + 2w -3v = 0 + 2w Remove the zero: -3v = 2w Divide each side by '-3'. v = -0.6666666667w Simplifying v = -0.6666666667w
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