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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 = -5w 6u = -5w Divide each side by '6'. u = -0.8333333333w Simplifying u = -0.8333333333w
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