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Simplifying 4u + -1w = u + 7w Solving 4u + -1w = u + 7w 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. 4u + -1u + -1w = u + -1u + 7w Combine like terms: 4u + -1u = 3u 3u + -1w = u + -1u + 7w Combine like terms: u + -1u = 0 3u + -1w = 0 + 7w 3u + -1w = 7w Add 'w' to each side of the equation. 3u + -1w + w = 7w + w Combine like terms: -1w + w = 0 3u + 0 = 7w + w 3u = 7w + w Combine like terms: 7w + w = 8w 3u = 8w Divide each side by '3'. u = 2.666666667w Simplifying u = 2.666666667w
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