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Simplifying 3(u + -2v) + 2(3u + v) = 0 (u * 3 + -2v * 3) + 2(3u + v) = 0 (3u + -6v) + 2(3u + v) = 0 3u + -6v + (3u * 2 + v * 2) = 0 3u + -6v + (6u + 2v) = 0 Reorder the terms: 3u + 6u + -6v + 2v = 0 Combine like terms: 3u + 6u = 9u 9u + -6v + 2v = 0 Combine like terms: -6v + 2v = -4v 9u + -4v = 0 Solving 9u + -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. 9u + -4v + 4v = 0 + 4v Combine like terms: -4v + 4v = 0 9u + 0 = 0 + 4v 9u = 0 + 4v Remove the zero: 9u = 4v Divide each side by '9'. u = 0.4444444444v Simplifying u = 0.4444444444v
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