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Simplifying -5(8u + -4v + 9w) = 0 (8u * -5 + -4v * -5 + 9w * -5) = 0 (-40u + 20v + -45w) = 0 Solving -40u + 20v + -45w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-20v' to each side of the equation. -40u + 20v + -20v + -45w = 0 + -20v Combine like terms: 20v + -20v = 0 -40u + 0 + -45w = 0 + -20v -40u + -45w = 0 + -20v Remove the zero: -40u + -45w = -20v Add '45w' to each side of the equation. -40u + -45w + 45w = -20v + 45w Combine like terms: -45w + 45w = 0 -40u + 0 = -20v + 45w -40u = -20v + 45w Divide each side by '-40'. u = 0.5v + -1.125w Simplifying u = 0.5v + -1.125w
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