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Simplifying 4u + -7v + 9v + u + 5u + 2v = 0 Reorder the terms: 4u + u + 5u + -7v + 9v + 2v = 0 Combine like terms: 4u + u = 5u 5u + 5u + -7v + 9v + 2v = 0 Combine like terms: 5u + 5u = 10u 10u + -7v + 9v + 2v = 0 Combine like terms: -7v + 9v = 2v 10u + 2v + 2v = 0 Combine like terms: 2v + 2v = 4v 10u + 4v = 0 Solving 10u + 4v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4v' to each side of the equation. 10u + 4v + -4v = 0 + -4v Combine like terms: 4v + -4v = 0 10u + 0 = 0 + -4v 10u = 0 + -4v Remove the zero: 10u = -4v Divide each side by '10'. u = -0.4v Simplifying u = -0.4v
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