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Simplifying -1(-4v + w) + 3(-1w + -5v) = 0 (-4v * -1 + w * -1) + 3(-1w + -5v) = 0 (4v + -1w) + 3(-1w + -5v) = 0 Reorder the terms: 4v + -1w + 3(-5v + -1w) = 0 4v + -1w + (-5v * 3 + -1w * 3) = 0 4v + -1w + (-15v + -3w) = 0 Reorder the terms: 4v + -15v + -1w + -3w = 0 Combine like terms: 4v + -15v = -11v -11v + -1w + -3w = 0 Combine like terms: -1w + -3w = -4w -11v + -4w = 0 Solving -11v + -4w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4w' to each side of the equation. -11v + -4w + 4w = 0 + 4w Combine like terms: -4w + 4w = 0 -11v + 0 = 0 + 4w -11v = 0 + 4w Remove the zero: -11v = 4w Divide each side by '-11'. v = -0.3636363636w Simplifying v = -0.3636363636w
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