https://file.aiquickdraw.com/mathbot/file/1727916404772z5ctbukx.jpg

Let's solve the problems step by step. I'll start by solving the ones on the first row of the "Find the difference" section. You can confirm if you'd like to proceed with these or another part.

### 10. \((-2g + 7) - (g + 11)\)
Expand and simplify:
\[
= -2g + 7 - g - 11
= -2g - g + 7 - 11
= -3g - 4
\]

### 11. \((6d + 5) - (2 - 3d)\)
Expand and simplify:
\[
= 6d + 5 - 2 + 3d
= 6d + 3d + 5 - 2
= 9d + 3
\]

### 12. \((4 - 5y) - 2(3.5y - 8)\)
Expand and simplify:
\[
= 4 - 5y - (7y - 16)
= 4 - 5y - 7y + 16
= 20 - 12y
\]

Would you like to continue with the next set of problems, or focus on any specific one?

Here are 5 additional related questions for further exploration:
1. How do you factor expressions involving two variables?
2. How would the steps change if the terms inside the parentheses were squared?
3. What happens when you add or subtract multiple terms with different exponents?
4. How do you deal with inequalities instead of equations in these types of problems?
5. What are the rules for distributing a negative sign over complex expressions?

Tip: Always distribute carefully when you subtract an entire expression. Neglecting a negative sign is a common mistake!

(-2g + 7) - (g + 11); (6d + 5) - (2 - 3d); (4 - 5y) - 2(3.5y - 8)

Learn how to simplify algebraic expressions such as (-2g + 7) - (g + 11), (6d + 5) - (2 - 3d), and (4 - 5y) - 2(3.5y - 8). This lesson covers key algebra concepts and suitable for students in Grades 7-9.

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