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Simplifying -1(4w + v) + 2(5v + 4w) = 0 Reorder the terms: -1(v + 4w) + 2(5v + 4w) = 0 (v * -1 + 4w * -1) + 2(5v + 4w) = 0 (-1v + -4w) + 2(5v + 4w) = 0 -1v + -4w + (5v * 2 + 4w * 2) = 0 -1v + -4w + (10v + 8w) = 0 Reorder the terms: -1v + 10v + -4w + 8w = 0 Combine like terms: -1v + 10v = 9v 9v + -4w + 8w = 0 Combine like terms: -4w + 8w = 4w 9v + 4w = 0 Solving 9v + 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. 9v + 4w + -4w = 0 + -4w Combine like terms: 4w + -4w = 0 9v + 0 = 0 + -4w 9v = 0 + -4w Remove the zero: 9v = -4w Divide each side by '9'. v = -0.4444444444w Simplifying v = -0.4444444444w
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