I see you've uploaded an image. Let me extract the information from it and solve the problem for you. One moment, please.The task involves finding equivalent expressions to match the given ones and identifying the corresponding letters. Here's the step-by-step solution:

Problem:

You are provided with four expressions and must find the equivalent expression from the options provided.

Expressions to match:

1. $12D - 4R$
2. $3D + 5D - 4$
3. $5(3R + 2R)$
4. $4R + 2R + 10R$

Step-by-Step Solutions:

1. $12D - 4R$

This is already simplified and matches directly:

• From the options, it matches "12D - 4R", corresponding to the letter B.

2. $3D + 5D - 4$

Combine like terms:

• $3D + 5D = 8D$, so the expression becomes $8D - 4$.
• From the options, it matches "8D - 4", corresponding to the letter F.

3. $5(3R + 2R)$

Simplify inside the parentheses:

• $3R + 2R = 5R$, so $5(5R) = 25R$.
• From the options, it matches "25R", corresponding to the letter E.

4. $4R + 2R + 10R$

Combine like terms:

• $4R + 2R + 10R = 16R$.
• From the options, it matches "16R", corresponding to the letter P.

Final Code:

Combine the letters in order: bfep

Let me know if you'd like further clarifications or have more questions! 😊

5 Related Questions:

1. How does the distributive property help simplify expressions?
2. What are like terms, and why can they be combined?
3. What are the steps to simplify algebraic expressions with parentheses?
4. Can an expression have multiple equivalent forms? Why?
5. What is the importance of coefficients in combining terms?

1 Tip:

Always organize expressions step-by-step to avoid missing any terms or simplifications!