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Simplifying -1(-3u + -1v) + -1(-5v + -3u) = 0 (-3u * -1 + -1v * -1) + -1(-5v + -3u) = 0 (3u + 1v) + -1(-5v + -3u) = 0 Reorder the terms: 3u + 1v + -1(-3u + -5v) = 0 3u + 1v + (-3u * -1 + -5v * -1) = 0 3u + 1v + (3u + 5v) = 0 Reorder the terms: 3u + 3u + 1v + 5v = 0 Combine like terms: 3u + 3u = 6u 6u + 1v + 5v = 0 Combine like terms: 1v + 5v = 6v 6u + 6v = 0 Solving 6u + 6v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6v' to each side of the equation. 6u + 6v + -6v = 0 + -6v Combine like terms: 6v + -6v = 0 6u + 0 = 0 + -6v 6u = 0 + -6v Remove the zero: 6u = -6v Divide each side by '6'. u = -1v Simplifying u = -1v
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