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\(=4\dfrac{5}{57}-3\dfrac{4}{51}+8\dfrac{13}{29}-3\dfrac{5}{57}+6\dfrac{16}{29}\)
\(=\left(4\dfrac{5}{57}-3\dfrac{5}{57}\right)+\left(8\dfrac{13}{29}+6\dfrac{16}{29}\right)-\dfrac{157}{51}\)
\(=16-\dfrac{157}{51}\)
\(=\dfrac{659}{51}\)
\(\left(4\dfrac{5}{57}-3\dfrac{4}{51}+8\dfrac{13}{29}\right)-\left(3\dfrac{5}{57}-6\dfrac{16}{29}\right)\)
\(=\left(\dfrac{233}{57}-\dfrac{157}{51}+\dfrac{245}{29}\right)-\left(\dfrac{176}{57}-\dfrac{190}{29}\right)\)
\(=\left(\dfrac{233}{57}+\dfrac{-157}{51}+\dfrac{245}{29}\right)-\left(\dfrac{176}{57}+\dfrac{-190}{29}\right)\)
\(=\dfrac{233}{57}+\dfrac{-157}{51}+\dfrac{245}{29}-\dfrac{176}{57}-\dfrac{-190}{29}\)
\(=\left(\dfrac{233}{57}-\dfrac{176}{57}\right)+\left(\dfrac{245}{29}-\dfrac{-190}{29}\right)+\left(\dfrac{-157}{51}\right)\)
\(1+15+\left(\dfrac{-157}{51}\right)\)
\(=16+\left(\dfrac{-157}{51}\right)\)
\(=\dfrac{659}{51}\)