To solve the first equation, we first simplify the expression:

(b6)9 = 69b = 54b

Now we set 54b equal to 6426:

54b = 6426

To solve for b, we divide both sides by 54:

b = 6426 / 54
b = 119

Therefore, b = 119.

Now for the second equation:

c*8 + 9344 = 24520

Subtract 9344 from both sides:

c*8 = 15176

Divide both sides by 8 to solve for c:

c = 15176 / 8
c = 1897

Therefore, c = 1897.