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Simplifying 12u + 18v + -10u + 9v = 0 Reorder the terms: 12u + -10u + 18v + 9v = 0 Combine like terms: 12u + -10u = 2u 2u + 18v + 9v = 0 Combine like terms: 18v + 9v = 27v 2u + 27v = 0 Solving 2u + 27v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-27v' to each side of the equation. 2u + 27v + -27v = 0 + -27v Combine like terms: 27v + -27v = 0 2u + 0 = 0 + -27v 2u = 0 + -27v Remove the zero: 2u = -27v Divide each side by '2'. u = -13.5v Simplifying u = -13.5v
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