https://file.aiquickdraw.com/mathbot/file/17260950268856xpm4ygd.jpg

Let's solve the equation given in the image:

\[
3 = -2\left| \frac{1}{4}s - 5 \right| + 3
\]

### Step 1: Subtract 3 from both sides to eliminate the constant on the right side:
\[
3 - 3 = -2\left| \frac{1}{4}s - 5 \right|
\]
\[
0 = -2\left| \frac{1}{4}s - 5 \right|
\]

### Step 2: Divide both sides by \(-2\):
\[
\frac{0}{-2} = \left| \frac{1}{4}s - 5 \right|
\]
\[
0 = \left| \frac{1}{4}s - 5 \right|
\]

### Step 3: Solve the absolute value equation:
\[
\frac{1}{4}s - 5 = 0
\]

### Step 4: Add 5 to both sides:
\[
\frac{1}{4}s = 5
\]

### Step 5: Multiply both sides by 4:
\[
s = 20
\]

So, the solution is \( s = 20 \).

Now, let's graph the solution. Since \( s = 20 \), we place a point at \( s = 20 \) on the number line.

Would you like more details or have any questions about this solution?

### Related Questions:
1. How do you solve equations with absolute values?
2. What are the different cases for absolute value equations?
3. How do you graph absolute value functions?
4. What happens if the absolute value equation has no solutions?
5. How do you verify the solution of an absolute value equation?

### Tip:
When solving absolute value equations, always consider the case where the expression inside the absolute value could be both positive and negative.

Solve the equation 3 = -2 |(1/4)s - 5| + 3 and find the solution(s). Then graph the solution(s) on a number line.

Learn how to solve the absolute value equation 3 = -2 |(1/4)s - 5| + 3 with a detailed step-by-step solution. This problem includes algebraic concepts related to absolute values and linear equations, suitable for students in Grades 8-10.

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