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Simplifying 3u + -1w = u + 5w Solving 3u + -1w = u + 5w Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. 3u + -1u + -1w = u + -1u + 5w Combine like terms: 3u + -1u = 2u 2u + -1w = u + -1u + 5w Combine like terms: u + -1u = 0 2u + -1w = 0 + 5w 2u + -1w = 5w Add 'w' to each side of the equation. 2u + -1w + w = 5w + w Combine like terms: -1w + w = 0 2u + 0 = 5w + w 2u = 5w + w Combine like terms: 5w + w = 6w 2u = 6w Divide each side by '2'. u = 3w Simplifying u = 3w
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