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Simplifying (5w + -8u) + -1(2w + -4u) = 0 Reorder the terms: (-8u + 5w) + -1(2w + -4u) = 0 Remove parenthesis around (-8u + 5w) -8u + 5w + -1(2w + -4u) = 0 Reorder the terms: -8u + 5w + -1(-4u + 2w) = 0 -8u + 5w + (-4u * -1 + 2w * -1) = 0 -8u + 5w + (4u + -2w) = 0 Reorder the terms: -8u + 4u + 5w + -2w = 0 Combine like terms: -8u + 4u = -4u -4u + 5w + -2w = 0 Combine like terms: 5w + -2w = 3w -4u + 3w = 0 Solving -4u + 3w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3w' to each side of the equation. -4u + 3w + -3w = 0 + -3w Combine like terms: 3w + -3w = 0 -4u + 0 = 0 + -3w -4u = 0 + -3w Remove the zero: -4u = -3w Divide each side by '-4'. u = 0.75w Simplifying u = 0.75w
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