\( -2\frac{1}{7}=-\frac{15}{7}\), \( -2\frac{1}{5}=-\frac{11}{5}\), поэтому
\[\left(-\frac{15}{7}-\frac{11}{5}\right)\cdot 5.6=\left(-\frac{75+77}{35}\right)\cdot\frac{28}{5}=-\frac{152}{35}\cdot\frac{28}{5}=-\frac{608}{25}=-24.32.\]
Ответ: \(-24{,}32\).