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Simplifying 7u + -1w = u + 6w Solving 7u + -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. 7u + -1u + -1w = u + -1u + 6w Combine like terms: 7u + -1u = 6u 6u + -1w = u + -1u + 6w Combine like terms: u + -1u = 0 6u + -1w = 0 + 6w 6u + -1w = 6w Add 'w' to each side of the equation. 6u + -1w + w = 6w + w Combine like terms: -1w + w = 0 6u + 0 = 6w + w 6u = 6w + w Combine like terms: 6w + w = 7w 6u = 7w Divide each side by '6'. u = 1.166666667w Simplifying u = 1.166666667w
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