Answer
$s = 20$
Work Step by Step
Given $$3 = -2\left|\frac{1}{4}s - 5\right| + 3.$$
Subtract $3$ on both sides $$-2\left|\frac{1}{4}s - 5\right| = 0.$$
Divide by $-2$ on both sides $$\left|\frac{1}{4}s - 5\right| = 0.$$
Since $0$ does not change signs $$\frac{1}{4}s - 5= 0.$$
Add $5$ on both sides $$\frac{1}{4}s = 5.$$
Multiply by $4$ on both sides $$s = 20.$$
The value for $s$ is $20$.
