Solve the equation.

-4|s+9|=-24

To solve the equation, we need to isolate the absolute value expression.

First, divide both sides of the equation by -4:
|s+9| = 6

Since the absolute value of any number is always positive, we have two possible cases: s + 9 = 6 or s + 9 = -6.

Case 1: s + 9 = 6
Subtract 9 from both sides:
s = 6 - 9
s = -3

Case 2: s + 9 = -6
Subtract 9 from both sides:
s = -6 - 9
s = -15

Therefore, the equation has two solutions: s = -3 and s = -15.