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Simplifying (6u + -3v + 8w) + -5(-6u + 4v + -9w) = 0 Remove parenthesis around (6u + -3v + 8w) 6u + -3v + 8w + -5(-6u + 4v + -9w) = 0 6u + -3v + 8w + (-6u * -5 + 4v * -5 + -9w * -5) = 0 6u + -3v + 8w + (30u + -20v + 45w) = 0 Reorder the terms: 6u + 30u + -3v + -20v + 8w + 45w = 0 Combine like terms: 6u + 30u = 36u 36u + -3v + -20v + 8w + 45w = 0 Combine like terms: -3v + -20v = -23v 36u + -23v + 8w + 45w = 0 Combine like terms: 8w + 45w = 53w 36u + -23v + 53w = 0 Solving 36u + -23v + 53w = 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. 36u + -23v + 23v + 53w = 0 + 23v Combine like terms: -23v + 23v = 0 36u + 0 + 53w = 0 + 23v 36u + 53w = 0 + 23v Remove the zero: 36u + 53w = 23v Add '-53w' to each side of the equation. 36u + 53w + -53w = 23v + -53w Combine like terms: 53w + -53w = 0 36u + 0 = 23v + -53w 36u = 23v + -53w Divide each side by '36'. u = 0.6388888889v + -1.472222222w Simplifying u = 0.6388888889v + -1.472222222w
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