∣−4c+13∣=

15

To solve the equation, we need to consider two cases:

Case 1: `-4c + 13 = 15`
Subtracting 13 from both sides of the equation, we have:
-4c = 2
Dividing both sides by -4 gives:
c = -2/4
Simplifying, we get:
c = -1/2

Case 2: `-(-4c + 13) = 15`
Distributing the negative sign, we get:
4c - 13 = 15
Adding 13 to both sides:
4c = 28
Dividing both sides by 4 gives:
c = 7

Thus, the two possible solutions for the equation are c = -1/2 and c = 7.