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Simplifying 2u + 8v + -3(2u + -5v + 9w) = 0 2u + 8v + (2u * -3 + -5v * -3 + 9w * -3) = 0 2u + 8v + (-6u + 15v + -27w) = 0 Reorder the terms: 2u + -6u + 8v + 15v + -27w = 0 Combine like terms: 2u + -6u = -4u -4u + 8v + 15v + -27w = 0 Combine like terms: 8v + 15v = 23v -4u + 23v + -27w = 0 Solving -4u + 23v + -27w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-23v' to each side of the equation. -4u + 23v + -23v + -27w = 0 + -23v Combine like terms: 23v + -23v = 0 -4u + 0 + -27w = 0 + -23v -4u + -27w = 0 + -23v Remove the zero: -4u + -27w = -23v Add '27w' to each side of the equation. -4u + -27w + 27w = -23v + 27w Combine like terms: -27w + 27w = 0 -4u + 0 = -23v + 27w -4u = -23v + 27w Divide each side by '-4'. u = 5.75v + -6.75w Simplifying u = 5.75v + -6.75w
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