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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 = -6w 3u = -6w Divide each side by '3'. u = -2w Simplifying u = -2w
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