1) 14 * (1/2m + 3/7n) = 14/2m + 42/7n = 7m + 6n
2) 1/6 * (12/17b - 18/23c) = 12/102b - 18/138c = 2/17b - 3/23c
3) 8 * (1/4p - 5/24q + 7/12t) = 8/4p - 40/24q + 56/12t = 2p - 1 16/24q - 4 8/12t = 2p - 1 2/3q + 4 2/3t
4) 1 3/4 * (4a + 16/21b - 2 2/3) = 7/4 * 4a + 7/4 * 16/21b - 7/4 * 8/3 = 7a + 4/3b - 14/3 = 4a + 1 1/3b - 4 2/3