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Simplifying -1(-1w + -1u) + 5(3u + w) = 0 Reorder the terms: -1(-1u + -1w) + 5(3u + w) = 0 (-1u * -1 + -1w * -1) + 5(3u + w) = 0 (1u + 1w) + 5(3u + w) = 0 1u + 1w + (3u * 5 + w * 5) = 0 1u + 1w + (15u + 5w) = 0 Reorder the terms: 1u + 15u + 1w + 5w = 0 Combine like terms: 1u + 15u = 16u 16u + 1w + 5w = 0 Combine like terms: 1w + 5w = 6w 16u + 6w = 0 Solving 16u + 6w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6w' to each side of the equation. 16u + 6w + -6w = 0 + -6w Combine like terms: 6w + -6w = 0 16u + 0 = 0 + -6w 16u = 0 + -6w Remove the zero: 16u = -6w Divide each side by '16'. u = -0.375w Simplifying u = -0.375w
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