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Simplifying 7u + -5v + 3w + 3v + -2u = 0 Reorder the terms: 7u + -2u + -5v + 3v + 3w = 0 Combine like terms: 7u + -2u = 5u 5u + -5v + 3v + 3w = 0 Combine like terms: -5v + 3v = -2v 5u + -2v + 3w = 0 Solving 5u + -2v + 3w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2v' to each side of the equation. 5u + -2v + 2v + 3w = 0 + 2v Combine like terms: -2v + 2v = 0 5u + 0 + 3w = 0 + 2v 5u + 3w = 0 + 2v Remove the zero: 5u + 3w = 2v Add '-3w' to each side of the equation. 5u + 3w + -3w = 2v + -3w Combine like terms: 3w + -3w = 0 5u + 0 = 2v + -3w 5u = 2v + -3w Divide each side by '5'. u = 0.4v + -0.6w Simplifying u = 0.4v + -0.6w
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