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Let's break down and solve the expression given:

\[
(9c - 4 + 5b) + (2c - 6)
\]

### Step 1: Group the like terms
- Terms with \( c \): \( 9c + 2c = 11c \)
- Terms with \( b \): \( 5b \) (there's only one \( b \)-term)
- Constant terms: \( -4 - 6 = -10 \)

### Step 2: Combine all terms
So, the expression simplifies to:

\[
5b + 11c - 10
\]

### Step 3: Compare to the answer choices
The correct answer is:
- \( 5b + 11c - 10 \)

This matches the second option: **5b + 11c - 10**.

Would you like any additional details or clarifications? Here are some related questions for further practice:

1. How do you combine like terms when adding expressions?
2. How would you solve this if it involved subtraction instead of addition?
3. What happens if one term had a negative coefficient?
4. How do constants influence the outcome in expressions?
5. Can you simplify an expression with three or more variables?

**Tip:** Always combine like terms first to simplify algebraic expressions efficiently.

Add the expression: (9c - 4 + 5b) + (2c - 6)

Learn how to combine like terms in the algebraic expression (9c - 4 + 5b) + (2c - 6). This step-by-step solution simplifies the expression by grouping variables and constants. Perfect for students in Grades 6-8.

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