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Simplifying 3u + 7v + 4u + -2v = 0 Reorder the terms: 3u + 4u + 7v + -2v = 0 Combine like terms: 3u + 4u = 7u 7u + 7v + -2v = 0 Combine like terms: 7v + -2v = 5v 7u + 5v = 0 Solving 7u + 5v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5v' to each side of the equation. 7u + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 7u + 0 = 0 + -5v 7u = 0 + -5v Remove the zero: 7u = -5v Divide each side by '7'. u = -0.7142857143v Simplifying u = -0.7142857143v
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