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Simplifying -7u + -1w = u + 5w Solving -7u + -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. -7u + -1u + -1w = u + -1u + 5w Combine like terms: -7u + -1u = -8u -8u + -1w = u + -1u + 5w Combine like terms: u + -1u = 0 -8u + -1w = 0 + 5w -8u + -1w = 5w Add 'w' to each side of the equation. -8u + -1w + w = 5w + w Combine like terms: -1w + w = 0 -8u + 0 = 5w + w -8u = 5w + w Combine like terms: 5w + w = 6w -8u = 6w Divide each side by '-8'. u = -0.75w Simplifying u = -0.75w
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