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Simplifying 8u + 6v + -6(4u + -6v) = 0 8u + 6v + (4u * -6 + -6v * -6) = 0 8u + 6v + (-24u + 36v) = 0 Reorder the terms: 8u + -24u + 6v + 36v = 0 Combine like terms: 8u + -24u = -16u -16u + 6v + 36v = 0 Combine like terms: 6v + 36v = 42v -16u + 42v = 0 Solving -16u + 42v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-42v' to each side of the equation. -16u + 42v + -42v = 0 + -42v Combine like terms: 42v + -42v = 0 -16u + 0 = 0 + -42v -16u = 0 + -42v Remove the zero: -16u = -42v Divide each side by '-16'. u = 2.625v Simplifying u = 2.625v
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