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Simplifying 5u + 8w = 2u + -3w Solving 5u + 8w = 2u + -3w Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 5u + -2u + 8w = 2u + -2u + -3w Combine like terms: 5u + -2u = 3u 3u + 8w = 2u + -2u + -3w Combine like terms: 2u + -2u = 0 3u + 8w = 0 + -3w 3u + 8w = -3w Add '-8w' to each side of the equation. 3u + 8w + -8w = -3w + -8w Combine like terms: 8w + -8w = 0 3u + 0 = -3w + -8w 3u = -3w + -8w Combine like terms: -3w + -8w = -11w 3u = -11w Divide each side by '3'. u = -3.666666667w Simplifying u = -3.666666667w
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