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Simplifying -4(w + -1u) + 2(6u + 6w) = 0 Reorder the terms: -4(-1u + w) + 2(6u + 6w) = 0 (-1u * -4 + w * -4) + 2(6u + 6w) = 0 (4u + -4w) + 2(6u + 6w) = 0 4u + -4w + (6u * 2 + 6w * 2) = 0 4u + -4w + (12u + 12w) = 0 Reorder the terms: 4u + 12u + -4w + 12w = 0 Combine like terms: 4u + 12u = 16u 16u + -4w + 12w = 0 Combine like terms: -4w + 12w = 8w 16u + 8w = 0 Solving 16u + 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. 16u + 8w + -8w = 0 + -8w Combine like terms: 8w + -8w = 0 16u + 0 = 0 + -8w 16u = 0 + -8w Remove the zero: 16u = -8w Divide each side by '16'. u = -0.5w Simplifying u = -0.5w
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