Let's solve the equation:

\[
-1 + \frac{k}{9} = 1
\]

### Step 1: Add 1 to both sides of the equation to eliminate the -1 on the left side:
\[
\frac{k}{9} = 1 + 1
\]
\[
\frac{k}{9} = 2
\]

### Step 2: Multiply both sides by 9 to eliminate the denominator:
\[
k = 2 \times 9
\]
\[
k = 18
\]

Thus, the solution is:
\[
k = 18
\]

Do you want any further details or have questions?

Here are 5 related questions to deepen your understanding:
1. What happens if you subtract \( k/9 \) from both sides instead of adding 1?
2. How would you solve if the equation was \( -1 + \frac{k}{9} = 2 \)?
3. What if the denominator in the fraction was different, say \( \frac{k}{5} \)?
4. How do you solve equations involving more complex fractions?
5. Can this type of problem appear in systems of equations?

**Tip:** Always perform the same operation on both sides of the equation to maintain equality.

Learn how to solve the linear equation -1 + k/9 = 1 with step-by-step explanations. This problem covers key algebraic concepts such as fractions and basic linear equations. Suitable for students in Grades 6-8.

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