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Simplifying 2(3u + -2v) + -8u = 0 (3u * 2 + -2v * 2) + -8u = 0 (6u + -4v) + -8u = 0 Reorder the terms: 6u + -8u + -4v = 0 Combine like terms: 6u + -8u = -2u -2u + -4v = 0 Solving -2u + -4v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4v' to each side of the equation. -2u + -4v + 4v = 0 + 4v Combine like terms: -4v + 4v = 0 -2u + 0 = 0 + 4v -2u = 0 + 4v Remove the zero: -2u = 4v Divide each side by '-2'. u = -2v Simplifying u = -2v
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