Let's solve the equation step by step:

Given:

\[
\frac{C - 9}{10} - 2 = 16
\]

### Step 1: Eliminate the constant outside the fraction
Add 2 to both sides to isolate the fraction:

\[
\frac{C - 9}{10} = 16 + 2
\]

\[
\frac{C - 9}{10} = 18
\]

### Step 2: Eliminate the denominator
Multiply both sides of the equation by 10:

\[
C - 9 = 18 \times 10
\]

\[
C - 9 = 180
\]

### Step 3: Solve for C
Add 9 to both sides to isolate \( C \):

\[
C = 180 + 9
\]

\[
C = 189
\]

So, the solution is:

\[
C = 189
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you solve equations involving fractions?
2. How can you check the solution of an equation?
3. What if the denominator had been a variable instead of a constant?
4. What if the equation included decimals rather than fractions?
5. How can this method apply to solving inequalities?

**Tip:** Always isolate the variable by systematically undoing operations, starting with constants farthest from the variable.

Learn how to solve the linear equation C - 9 / 10 - 2 = 16 with a clear, step-by-step breakdown. This problem focuses on algebraic techniques involving fractions and isolating variables, suitable for students in Grades 8-10.

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