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Simplifying -1(-4u + -1v) + 5(5v + -4u) = 0 (-4u * -1 + -1v * -1) + 5(5v + -4u) = 0 (4u + 1v) + 5(5v + -4u) = 0 Reorder the terms: 4u + 1v + 5(-4u + 5v) = 0 4u + 1v + (-4u * 5 + 5v * 5) = 0 4u + 1v + (-20u + 25v) = 0 Reorder the terms: 4u + -20u + 1v + 25v = 0 Combine like terms: 4u + -20u = -16u -16u + 1v + 25v = 0 Combine like terms: 1v + 25v = 26v -16u + 26v = 0 Solving -16u + 26v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-26v' to each side of the equation. -16u + 26v + -26v = 0 + -26v Combine like terms: 26v + -26v = 0 -16u + 0 = 0 + -26v -16u = 0 + -26v Remove the zero: -16u = -26v Divide each side by '-16'. u = 1.625v Simplifying u = 1.625v
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