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Simplifying -1(5w + u) + 3(3u + 3w) = 0 Reorder the terms: -1(u + 5w) + 3(3u + 3w) = 0 (u * -1 + 5w * -1) + 3(3u + 3w) = 0 (-1u + -5w) + 3(3u + 3w) = 0 -1u + -5w + (3u * 3 + 3w * 3) = 0 -1u + -5w + (9u + 9w) = 0 Reorder the terms: -1u + 9u + -5w + 9w = 0 Combine like terms: -1u + 9u = 8u 8u + -5w + 9w = 0 Combine like terms: -5w + 9w = 4w 8u + 4w = 0 Solving 8u + 4w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4w' to each side of the equation. 8u + 4w + -4w = 0 + -4w Combine like terms: 4w + -4w = 0 8u + 0 = 0 + -4w 8u = 0 + -4w Remove the zero: 8u = -4w Divide each side by '8'. u = -0.5w Simplifying u = -0.5w
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