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Simplifying 9u + 8v + -5u + -2v + 4u + -5v = 0 Reorder the terms: 9u + -5u + 4u + 8v + -2v + -5v = 0 Combine like terms: 9u + -5u = 4u 4u + 4u + 8v + -2v + -5v = 0 Combine like terms: 4u + 4u = 8u 8u + 8v + -2v + -5v = 0 Combine like terms: 8v + -2v = 6v 8u + 6v + -5v = 0 Combine like terms: 6v + -5v = 1v 8u + 1v = 0 Solving 8u + 1v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1v' to each side of the equation. 8u + 1v + -1v = 0 + -1v Combine like terms: 1v + -1v = 0 8u + 0 = 0 + -1v 8u = 0 + -1v Remove the zero: 8u = -1v Divide each side by '8'. u = -0.125v Simplifying u = -0.125v
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