Which expression is equivalent to (5a – 4b) + (-3a – 2b)?

To simplify the expression \((5a - 4b) + (-3a - 2b)\), follow these steps:

1. Group the like terms:
   - Combine the terms with \(a\): \(5a + (-3a) = 2a\)
   - Combine the terms with \(b\): \(-4b + (-2b) = -6b\)

2. The simplified expression is:
   \[
   2a - 6b
   \]

Therefore, the expression equivalent to \((5a - 4b) + (-3a - 2b)\) is \(2a - 6b\).

Do you need any further details or clarifications?

Here are 5 related questions to expand on this:

1. How do you simplify an expression with more variables?
2. What happens when you subtract algebraic expressions?
3. How would you factor the result \(2a - 6b\)?
4. What if the coefficients were decimals instead of integers?
5. How do you handle expressions with more complex terms, like squares or cubes?

**Tip:** Always group and simplify like terms to make expressions easier to manage.

Learn how to simplify the algebraic expression (5a - 4b) + (-3a - 2b) by combining like terms. This problem explores key algebraic concepts such as grouping terms with similar variables. Perfect for students in Grades 6-8.

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