First, isolate the variable term on one side of the equation by adding 1/4c to both sides:
-2 + 1/4c = -24
Next, simplify the left side of the equation by finding a common denominator for -2 and 1/4c:
-8/4 + 1/4c = -24
Combine the terms on the left side:
-8/4 + 1/4c = -24
-2 + 1/4c = -24
Add 2 to both sides:
1/4c = -22
Finally, isolate the variable by multiplying both sides by 4:
4(1/4c) = 4(-22)
c = -88