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Simplifying -4(2u + v) + 5(u + -1v) = 0 (2u * -4 + v * -4) + 5(u + -1v) = 0 (-8u + -4v) + 5(u + -1v) = 0 -8u + -4v + (u * 5 + -1v * 5) = 0 -8u + -4v + (5u + -5v) = 0 Reorder the terms: -8u + 5u + -4v + -5v = 0 Combine like terms: -8u + 5u = -3u -3u + -4v + -5v = 0 Combine like terms: -4v + -5v = -9v -3u + -9v = 0 Solving -3u + -9v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '9v' to each side of the equation. -3u + -9v + 9v = 0 + 9v Combine like terms: -9v + 9v = 0 -3u + 0 = 0 + 9v -3u = 0 + 9v Remove the zero: -3u = 9v Divide each side by '-3'. u = -3v Simplifying u = -3v
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