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Simplifying -1(5w + u) + 3(3u + 5w) = 0 Reorder the terms: -1(u + 5w) + 3(3u + 5w) = 0 (u * -1 + 5w * -1) + 3(3u + 5w) = 0 (-1u + -5w) + 3(3u + 5w) = 0 -1u + -5w + (3u * 3 + 5w * 3) = 0 -1u + -5w + (9u + 15w) = 0 Reorder the terms: -1u + 9u + -5w + 15w = 0 Combine like terms: -1u + 9u = 8u 8u + -5w + 15w = 0 Combine like terms: -5w + 15w = 10w 8u + 10w = 0 Solving 8u + 10w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10w' to each side of the equation. 8u + 10w + -10w = 0 + -10w Combine like terms: 10w + -10w = 0 8u + 0 = 0 + -10w 8u = 0 + -10w Remove the zero: 8u = -10w Divide each side by '8'. u = -1.25w Simplifying u = -1.25w
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