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Simplifying 40 = -13w + u + 8w Reorder the terms: 40 = u + -13w + 8w Combine like terms: -13w + 8w = -5w 40 = u + -5w Solving 40 = 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. 40 + -1u = u + -1u + -5w Combine like terms: u + -1u = 0 40 + -1u = 0 + -5w 40 + -1u = -5w Add '-40' to each side of the equation. 40 + -40 + -1u = -40 + -5w Combine like terms: 40 + -40 = 0 0 + -1u = -40 + -5w -1u = -40 + -5w Divide each side by '-1'. u = 40 + 5w Simplifying u = 40 + 5w
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