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Simplifying 5u + 5v + -5(5u + -4v + 4w) = 0 5u + 5v + (5u * -5 + -4v * -5 + 4w * -5) = 0 5u + 5v + (-25u + 20v + -20w) = 0 Reorder the terms: 5u + -25u + 5v + 20v + -20w = 0 Combine like terms: 5u + -25u = -20u -20u + 5v + 20v + -20w = 0 Combine like terms: 5v + 20v = 25v -20u + 25v + -20w = 0 Solving -20u + 25v + -20w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-25v' to each side of the equation. -20u + 25v + -25v + -20w = 0 + -25v Combine like terms: 25v + -25v = 0 -20u + 0 + -20w = 0 + -25v -20u + -20w = 0 + -25v Remove the zero: -20u + -20w = -25v Add '20w' to each side of the equation. -20u + -20w + 20w = -25v + 20w Combine like terms: -20w + 20w = 0 -20u + 0 = -25v + 20w -20u = -25v + 20w Divide each side by '-20'. u = 1.25v + -1w Simplifying u = 1.25v + -1w
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