Let's simplify the expression step by step:

16 + 5(-c - 2(c - 4)) = 12(3 - 2c) - 1

Distribute the 5 on the inner expression:

16 + 5(-c) - 5(2c) + 5(4) = 12(3 - 2c) - 1

Simplify the inner expression:

16 - 5c - 10c + 20 = 12(3 - 2c) - 1

Combine like terms:

16 - 15c + 20 = 36 - 24c - 1

Add the constants:

36 - 15c = 36 - 24c - 1

Subtract 36 from both sides:

-15c = -24c - 1

Add 24c to both sides:

9c = -1

Divide by 9 to solve for c:

c = -1/9

So the solution to the equation is c = -1/9.