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Simplifying 2u + -3v + 5w = 3 Solving 2u + -3v + 5w = 3 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3v' to each side of the equation. 2u + -3v + 3v + 5w = 3 + 3v Combine like terms: -3v + 3v = 0 2u + 0 + 5w = 3 + 3v 2u + 5w = 3 + 3v Add '-5w' to each side of the equation. 2u + 5w + -5w = 3 + 3v + -5w Combine like terms: 5w + -5w = 0 2u + 0 = 3 + 3v + -5w 2u = 3 + 3v + -5w Divide each side by '2'. u = 1.5 + 1.5v + -2.5w Simplifying u = 1.5 + 1.5v + -2.5w
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