8 * 6 + 23 - 24 : 4 * 3 + 17

Let's solve the expression step by step, following the order of operations (PEMDAS/BODMAS):

1. Multiplication and Division (from left to right):
* $$8 \cdot 6 = 48$$
* $$24 : 4 = 6$$
* $$6 \cdot 3 = 18$$
2. Now the expression looks like this:
$$48 + 23 - 18 + 17$$
3. Addition and Subtraction (from left to right):
* $$48 + 23 = 71$$
* $$71 - 18 = 53$$
* $$53 + 17 = 70$$

Answer: 70