https://file.aiquickdraw.com/mathbot/file/1726626105231y7r6kvnk.jpg

I can see the image you uploaded, which contains a series of algebraic expressions that need simplification. I'll solve each expression step by step:

### a. \( 5p + 6p - 3p \)
\[
5p + 6p - 3p = (5 + 6 - 3)p = 8p
\]

### b. \( 8m - 3m - 2m + 7m \)
\[
8m - 3m - 2m + 7m = (8 - 3 - 2 + 7)m = 10m
\]

### c. \( 8x - 5x + 7x \)
\[
8x - 5x + 7x = (8 - 5 + 7)x = 10x
\]

### d. \( 4xy + 6xy - 3xy - 2xy \)
\[
4xy + 6xy - 3xy - 2xy = (4 + 6 - 3 - 2)xy = 5xy
\]

### e. \( 12y - 4y + 5y \)
\[
12y - 4y + 5y = (12 - 4 + 5)y = 13y
\]

### f. \( 8k + 4k + 2k - 5k \)
\[
8k + 4k + 2k - 5k = (8 + 4 + 2 - 5)k = 9k
\]

### g. \( 8xy + 2xy + 5xy \)
\[
8xy + 2xy + 5xy = (8 + 2 + 5)xy = 15xy
\]

### h. \( 9a + 2a + 3a - 7a \)
\[
9a + 2a + 3a - 7a = (9 + 2 + 3 - 7)a = 7a
\]

### i. \( 6m - 3m + 10m \)
\[
6m - 3m + 10m = (6 - 3 + 10)m = 13m
\]

### j. \( 11p + 5p - 7p \)
\[
11p + 5p - 7p = (11 + 5 - 7)p = 9p
\]

### k. \( 5a + 7a + 3a + 6a \)
\[
5a + 7a + 3a + 6a = (5 + 7 + 3 + 6)a = 21a
\]

### l. \( 6ab - 3ab - ab + 2ab \)
\[
6ab - 3ab - ab + 2ab = (6 - 3 - 1 + 2)ab = 4ab
\]

Would you like more details on any of these simplifications, or have further questions? Here are 5 related questions for practice:

1. Simplify \( 10x + 3x - 5x \).
2. What is the result of \( 7m - 2m + m - 6m \)?
3. How would you simplify \( 4p + 9p - 5p \)?
4. Combine like terms for \( 3ab + 6ab - 2ab \).
5. Simplify \( 12a - 5a + 2a - 6a \).

**Tip**: Always group like terms first when simplifying algebraic expressions.

Simplify the following algebraic expressions:
 a. 5p + 6p - 3p
 b. 8m - 3m - 2m + 7m
 c. 8x - 5x + 7x
 d. 4xy + 6xy - 3xy - 2xy
 e. 12y - 4y + 5y
 f. 8k + 4k + 2k - 5k
 g. 8xy + 2xy + 5xy
 h. 9a + 2a + 3a - 7a
 i. 6m - 3m + 10m
 j. 11p + 5p - 7p
 k. 5a + 7a + 3a + 6a
 l. 6ab - 3ab - ab + 2ab

Learn how to simplify algebraic expressions by combining like terms. This problem covers key concepts in algebra, including simplifying expressions with terms such as 5p + 6p - 3p and 6ab - 3ab - ab + 2ab. Suitable for students in Grades 7-9.

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