To solve this equation, we first need to combine like terms on the left side of the equation:

-8 7/16c + 10 19/24c - 3 3/8c = -2,4

First, let's convert all the mixed numbers to improper fractions:

-8(16/16) + 7/16c + 10(24/24) + 19/24c - 3(8/8) + 3/8c = -2,4

-128/16 + 7/16c + 240/24 + 19/24c - 24/8 + 3/8c = -2,4

-128/16 + 7/16c + 240/24 + 19/24c - 24/8 + 3/8c = -12/5

Next, we need to find a common denominator for all the fractions in the equation:

The common denominator for 16, 24, and 8 is 48. So, we rewrite the equation with this common denominator:

-8(3) + 7/16c + 10(2) + 19/24c - 3(6) + 3/8c = -24/5

-24 + 7/16c + 20 + 19/24c - 18 + 3/8c = -24/5

Now we can combine like terms:

(7/16c + 19/24c + 3/8c) = (105/48c + 76/48c + 18/48c) = 199/48c

-24 + 20 - 18 = -22

So, the equation becomes:

199/48c - 22 = -24/5

Now, we need to isolate the variable c.

Add 22 to both sides:

199/48c = -24/5 + 22

199/48c = -24/5 + 110/5

199/48c = 86/5

Multiply by 48 to get rid of the fraction:

199c = 86(48/5)

199c = 4128/5

c = 4128/995

Therefore, the solution to the equation is c = 4128/995.