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Simplifying -5(8u + -2v + 4w) = 0 (8u * -5 + -2v * -5 + 4w * -5) = 0 (-40u + 10v + -20w) = 0 Solving -40u + 10v + -20w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10v' to each side of the equation. -40u + 10v + -10v + -20w = 0 + -10v Combine like terms: 10v + -10v = 0 -40u + 0 + -20w = 0 + -10v -40u + -20w = 0 + -10v Remove the zero: -40u + -20w = -10v Add '20w' to each side of the equation. -40u + -20w + 20w = -10v + 20w Combine like terms: -20w + 20w = 0 -40u + 0 = -10v + 20w -40u = -10v + 20w Divide each side by '-40'. u = 0.25v + -0.5w Simplifying u = 0.25v + -0.5w
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