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We are tasked with finding the value of \( 4a + 2b \) when \( a = 5 \) and \( b = -4 \).

### Step-by-step solution:

1. Start with the expression:  
   \[ 4a + 2b \]

2. Substitute the given values for \( a \) and \( b \):  
   \[ 4(5) + 2(-4) \]

3. Calculate each term:  
   \[ 4(5) = 20 \]  
   \[ 2(-4) = -8 \]

4. Add the results:  
   \[ 20 + (-8) = 12 \]

Thus, the value of \( 4a + 2b \) is \( 12 \).

Would you like more details on any part of this solution?

### Related Questions:
1. What is the value of \( 3a + 5b \) when \( a = 2 \) and \( b = -3 \)?
2. How would the result change if \( b = 3 \) instead of \( b = -4 \)?
3. Solve \( 6a + 7b \) for \( a = -2 \) and \( b = 5 \).
4. If \( 4a + 2b = 0 \), what are the possible values of \( a \) and \( b \)?
5. What is the value of \( 4(a + b) \) for \( a = 1 \) and \( b = 2 \)?

**Tip:** Always substitute variables carefully into expressions to avoid sign errors when working with negative numbers.

What is the value of 4a + 2b when a = 5 and b = -4?

Learn how to solve the expression 4a + 2b when a = 5 and b = -4. This problem covers key algebraic concepts such as substitution and simple calculations, suitable for students in Grades 6-8.

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