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Simplifying 5u + 9v + -5(9u + -6v) = 0 5u + 9v + (9u * -5 + -6v * -5) = 0 5u + 9v + (-45u + 30v) = 0 Reorder the terms: 5u + -45u + 9v + 30v = 0 Combine like terms: 5u + -45u = -40u -40u + 9v + 30v = 0 Combine like terms: 9v + 30v = 39v -40u + 39v = 0 Solving -40u + 39v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-39v' to each side of the equation. -40u + 39v + -39v = 0 + -39v Combine like terms: 39v + -39v = 0 -40u + 0 = 0 + -39v -40u = 0 + -39v Remove the zero: -40u = -39v Divide each side by '-40'. u = 0.975v Simplifying u = 0.975v
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