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Simplifying -1(-1u + -1v) + 5(-4v + 3u) = 0 (-1u * -1 + -1v * -1) + 5(-4v + 3u) = 0 (1u + 1v) + 5(-4v + 3u) = 0 Reorder the terms: 1u + 1v + 5(3u + -4v) = 0 1u + 1v + (3u * 5 + -4v * 5) = 0 1u + 1v + (15u + -20v) = 0 Reorder the terms: 1u + 15u + 1v + -20v = 0 Combine like terms: 1u + 15u = 16u 16u + 1v + -20v = 0 Combine like terms: 1v + -20v = -19v 16u + -19v = 0 Solving 16u + -19v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '19v' to each side of the equation. 16u + -19v + 19v = 0 + 19v Combine like terms: -19v + 19v = 0 16u + 0 = 0 + 19v 16u = 0 + 19v Remove the zero: 16u = 19v Divide each side by '16'. u = 1.1875v Simplifying u = 1.1875v
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