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Simplifying -4(-2v + -1w) + -5(-5w + v) = 0 (-2v * -4 + -1w * -4) + -5(-5w + v) = 0 (8v + 4w) + -5(-5w + v) = 0 Reorder the terms: 8v + 4w + -5(v + -5w) = 0 8v + 4w + (v * -5 + -5w * -5) = 0 8v + 4w + (-5v + 25w) = 0 Reorder the terms: 8v + -5v + 4w + 25w = 0 Combine like terms: 8v + -5v = 3v 3v + 4w + 25w = 0 Combine like terms: 4w + 25w = 29w 3v + 29w = 0 Solving 3v + 29w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-29w' to each side of the equation. 3v + 29w + -29w = 0 + -29w Combine like terms: 29w + -29w = 0 3v + 0 = 0 + -29w 3v = 0 + -29w Remove the zero: 3v = -29w Divide each side by '3'. v = -9.666666667w Simplifying v = -9.666666667w
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