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Simplifying 4u + 7v + -6(7u + -7v) = 0 4u + 7v + (7u * -6 + -7v * -6) = 0 4u + 7v + (-42u + 42v) = 0 Reorder the terms: 4u + -42u + 7v + 42v = 0 Combine like terms: 4u + -42u = -38u -38u + 7v + 42v = 0 Combine like terms: 7v + 42v = 49v -38u + 49v = 0 Solving -38u + 49v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-49v' to each side of the equation. -38u + 49v + -49v = 0 + -49v Combine like terms: 49v + -49v = 0 -38u + 0 = 0 + -49v -38u = 0 + -49v Remove the zero: -38u = -49v Divide each side by '-38'. u = 1.289473684v Simplifying u = 1.289473684v
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