We want to solve the equation:
[tex]3=-2| \frac{1}{4}s-5 |+3[/tex]
First, subtract 3 from both sides:
[tex]0=-2| \frac{1}{4}s-5|[/tex]
Clearly, [tex]| \frac{1}{4}s-5|[/tex] must be equal to 0, which means [tex]\frac{1}{4}s-5[/tex] must be equal to 0, so we solve:
[tex]\frac{1}{4}s-5=0\\\\\frac{1}{4}s=5\\\\s=5\cdot4=20[/tex]
Answer: s=20
