To solve \((5a + 2b) - (3a - 7b)\), we follow these steps:

1. Distribute the negative sign through the second parenthesis:
   \[
   (5a + 2b) - 3a + 7b
   \]

2. Combine like terms:
   \[
   (5a - 3a) + (2b + 7b) = 2a + 9b
   \]

So, \((5a + 2b) - (3a - 7b) = 2a + 9b\).

Would you like more details or have any questions about the steps?

Here are 5 related questions:
1. How do you simplify expressions with variables?
2. What is the distributive property in algebra?
3. How can you combine like terms in algebraic expressions?
4. What happens if the signs in the second set of parentheses are reversed?
5. How do you solve equations involving more than two variables?

**Tip:** Always distribute the negative sign to each term inside the parentheses when subtracting expressions.

Learn how to simplify the expression (5a＋2b)-(3a-7b) step by step by applying the distributive property and combining like terms. This problem is suitable for students in Grades 6-8 and covers core algebraic concepts.

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