To solve for \( k \) in the equation

\[ \frac{k}{4} - 1 = 2, \]

follow these steps:

1. **Isolate the term with \( k \)**: Add 1 to both sides of the equation to eliminate the -1 on the left side.

   \[ \frac{k}{4} - 1 + 1 = 2 + 1 \]

   Simplifying this gives:

   \[ \frac{k}{4} = 3 \]

2. **Solve for \( k \)**: Multiply both sides of the equation by 4 to solve for \( k \).

   \[ 4 \cdot \frac{k}{4} = 3 \cdot 4 \]

   Simplifying this gives:

   \[ k = 12 \]

So, the solution is \( k = 12 \).

Would you like a detailed explanation or have any questions about this problem? Here are some related questions you might find helpful:

1. How would you solve \(\frac{k}{4} - 3 = 5\)?
2. What if the equation were \(\frac{k}{5} - 1 = 2\)?
3. How do you solve \(\frac{k}{4} + 1 = 2\)?
4. What is the process for solving \(\frac{k}{4} - 1 = -2\)?
5. How would the steps change for \(\frac{k}{4} - 1 = 0\)?
6. What if the variable were in the denominator, like \(\frac{4}{k} - 1 = 2\)?
7. How do you handle fractions in equations like \(\frac{k+1}{4} = 2\)?
8. Can you explain the process for solving \(\frac{2k}{4} - 1 = 2\)?

**Tip:** Always isolate the variable by performing inverse operations step by step to simplify the equation.

Learn how to solve the equation k/4 - 1 = 2 step-by-step. Understand the process of isolating the variable and performing inverse operations to find the value of k. Suitable for Grades 7-9 students learning basic algebra and equation solving.

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