𝟒𝒂 + 𝟑𝒄 − 𝟒𝒃 − 𝟐𝒂 + 𝟐𝒃 + 𝟑𝒃 − 𝟒c

Let's simplify the given expression:

\[
4a + 3c - 4b - 2a + 2b + 3b - 4c
\]

We'll start by combining like terms:

1. **Combine the \( a \) terms**:  
   - \( 4a \) and \( -2a \) are like terms.  
   - Adding these gives \( 4a - 2a = 2a \).

2. **Combine the \( b \) terms**:  
   - \( -4b \), \( 2b \), and \( 3b \) are like terms.  
   - Adding these gives \( -4b + 2b + 3b = 1b \) (or simply \( b \)).

3. **Combine the \( c \) terms**:  
   - \( 3c \) and \( -4c \) are like terms.  
   - Adding these gives \( 3c - 4c = -c \).

So, the simplified expression is:

\[
2a + b - c
\]

Would you like more details on any specific part of this process or have any further questions?

### Related Questions:
1. How do you combine like terms in an expression with multiple variables?
2. What strategies can be used to simplify algebraic expressions?
3. How do you factor out common terms in algebraic expressions?
4. What is the role of the distributive property in simplifying expressions?
5. How do you identify and work with coefficients in algebra?
6. What are the basic operations you can perform on algebraic expressions?
7. How do you deal with negative signs when simplifying expressions?
8. How does the order of operations affect the simplification of expressions?

### Tip:
When simplifying expressions, always look for like terms first. Group and combine them to reduce the expression to its simplest form.

Learn how to simplify the expression 4a + 3c - 4b - 2a + 2b + 3b - 4c step-by-step. This problem involves combining like terms in algebra, including terms with variables a, b, and c. Suitable for students in Grades 7-9.

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