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Simplifying 3(u + w) + -5(u + -1w) = 0 (u * 3 + w * 3) + -5(u + -1w) = 0 (3u + 3w) + -5(u + -1w) = 0 3u + 3w + (u * -5 + -1w * -5) = 0 3u + 3w + (-5u + 5w) = 0 Reorder the terms: 3u + -5u + 3w + 5w = 0 Combine like terms: 3u + -5u = -2u -2u + 3w + 5w = 0 Combine like terms: 3w + 5w = 8w -2u + 8w = 0 Solving -2u + 8w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8w' to each side of the equation. -2u + 8w + -8w = 0 + -8w Combine like terms: 8w + -8w = 0 -2u + 0 = 0 + -8w -2u = 0 + -8w Remove the zero: -2u = -8w Divide each side by '-2'. u = 4w Simplifying u = 4w
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