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