To solve the equation \(12 - \frac{1}{9} n = 17\), we need to isolate the variable \(n\). First, subtract 12 from both sides to get \(-\frac{1}{9} n = 5\). Then, multiply both sides by \(-9\) to solve for \(n\).
Step 1: Rearrange the Equation
Start with the equation:
\[
12 - \frac{1}{9} n = 17
\]
Subtract 12 from both sides to isolate the term with \(n\):
\[
-\frac{1}{9} n = 17 - 12
\]
This simplifies to:
\[
-\frac{1}{9} n = 5
\]
Step 2: Solve for \(n\)
To solve for \(n\), multiply both sides of the equation by \(-9\):
\[
n = 5 \times (-9)
\]
This results in:
\[
n = -45
\]