Раскройте скобки: 1) $$14 \cdot \left(\frac{1}{2}m + \frac{3}{7}n\right)$$; 2) $$6 \frac{1}{17} \cdot \left(12b - \frac{18}{23}c\right)$$; 3) $$8 \cdot \left(\frac{1}{4}p - \frac{5}{24}q + \frac{7}{12}t\right)$$; 4) $$1 \frac{3}{4} \cdot \left(4a + \frac{16}{21}b - 2\frac{2}{3}\right)$$

1) $$14 \cdot \left(\frac{1}{2}m + \frac{3}{7}n\right) = 14 \cdot \frac{1}{2}m + 14 \cdot \frac{3}{7}n = 7m + 6n$$ 2) $$6 \frac{1}{17} \cdot \left(12b - \frac{18}{23}c\right) = \frac{103}{17} \cdot \left(12b - \frac{18}{23}c\right) = \frac{103}{17} \cdot 12b - \frac{103}{17} \cdot \frac{18}{23}c = \frac{1236}{17}b - \frac{1854}{391}c$$ 3) $$8 \cdot \left(\frac{1}{4}p - \frac{5}{24}q + \frac{7}{12}t\right) = 8 \cdot \frac{1}{4}p - 8 \cdot \frac{5}{24}q + 8 \cdot \frac{7}{12}t = 2p - \frac{5}{3}q + \frac{14}{3}t$$ 4) $$1 \frac{3}{4} \cdot \left(4a + \frac{16}{21}b - 2\frac{2}{3}\right) = \frac{7}{4} \cdot \left(4a + \frac{16}{21}b - \frac{8}{3}\right) = \frac{7}{4} \cdot 4a + \frac{7}{4} \cdot \frac{16}{21}b - \frac{7}{4} \cdot \frac{8}{3} = 7a + \frac{4}{3}b - \frac{14}{3}$$