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Simplifying -1w + -5u = u + 7w Reorder the terms: -5u + -1w = u + 7w Solving -5u + -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. -5u + -1u + -1w = u + -1u + 7w Combine like terms: -5u + -1u = -6u -6u + -1w = u + -1u + 7w Combine like terms: u + -1u = 0 -6u + -1w = 0 + 7w -6u + -1w = 7w Add 'w' to each side of the equation. -6u + -1w + w = 7w + w Combine like terms: -1w + w = 0 -6u + 0 = 7w + w -6u = 7w + w Combine like terms: 7w + w = 8w -6u = 8w Divide each side by '-6'. u = -1.333333333w Simplifying u = -1.333333333w
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