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Simplifying 8u + 2v + -7(8u + -3v + 9w) = 0 8u + 2v + (8u * -7 + -3v * -7 + 9w * -7) = 0 8u + 2v + (-56u + 21v + -63w) = 0 Reorder the terms: 8u + -56u + 2v + 21v + -63w = 0 Combine like terms: 8u + -56u = -48u -48u + 2v + 21v + -63w = 0 Combine like terms: 2v + 21v = 23v -48u + 23v + -63w = 0 Solving -48u + 23v + -63w = 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. -48u + 23v + -23v + -63w = 0 + -23v Combine like terms: 23v + -23v = 0 -48u + 0 + -63w = 0 + -23v -48u + -63w = 0 + -23v Remove the zero: -48u + -63w = -23v Add '63w' to each side of the equation. -48u + -63w + 63w = -23v + 63w Combine like terms: -63w + 63w = 0 -48u + 0 = -23v + 63w -48u = -23v + 63w Divide each side by '-48'. u = 0.4791666667v + -1.3125w Simplifying u = 0.4791666667v + -1.3125w
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