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Simplifying -1(6u + -1w) + -4(-5w + -6u) = 0 (6u * -1 + -1w * -1) + -4(-5w + -6u) = 0 (-6u + 1w) + -4(-5w + -6u) = 0 Reorder the terms: -6u + 1w + -4(-6u + -5w) = 0 -6u + 1w + (-6u * -4 + -5w * -4) = 0 -6u + 1w + (24u + 20w) = 0 Reorder the terms: -6u + 24u + 1w + 20w = 0 Combine like terms: -6u + 24u = 18u 18u + 1w + 20w = 0 Combine like terms: 1w + 20w = 21w 18u + 21w = 0 Solving 18u + 21w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-21w' to each side of the equation. 18u + 21w + -21w = 0 + -21w Combine like terms: 21w + -21w = 0 18u + 0 = 0 + -21w 18u = 0 + -21w Remove the zero: 18u = -21w Divide each side by '18'. u = -1.166666667w Simplifying u = -1.166666667w
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