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Simplifying 5u + -1w = u + 6w Solving 5u + -1w = u + 6w 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 + 6w Combine like terms: 5u + -1u = 4u 4u + -1w = u + -1u + 6w Combine like terms: u + -1u = 0 4u + -1w = 0 + 6w 4u + -1w = 6w Add 'w' to each side of the equation. 4u + -1w + w = 6w + w Combine like terms: -1w + w = 0 4u + 0 = 6w + w 4u = 6w + w Combine like terms: 6w + w = 7w 4u = 7w Divide each side by '4'. u = 1.75w Simplifying u = 1.75w
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