Let's solve the expression step by step:

We are given:
$(5a - 4b) + (-3a - 2b)$

Step 1: Remove parentheses

You can remove the parentheses because they don't affect the signs: $5a - 4b - 3a - 2b$

Step 2: Combine like terms

• Combine the terms with $a$: $5a - 3a = 2a$
• Combine the terms with $b$: $-4b - 2b = -6b$

Final result:

$2a - 6b$

Thus, the expression equivalent to $(5a - 4b) + (-3a - 2b)$ is: $\boxed{2a - 6b}$

Would you like further details or have any questions about this solution?

Here are 5 related questions for practice:

1. What is $(7x + 3y) + (-2x - 5y)$?
2. Simplify the expression: $(6m - 2n) + (-4m + 3n)$.
3. What happens when you add $(4x - 3)$ and $(-4x + 3)$?
4. Combine like terms in the expression $(3p + 7q) + (5p - 9q)$.
5. How would you simplify $(8a - 6b) + (-5a + 4b)$?

Tip: Always look for like terms (terms with the same variable and exponent) when simplifying algebraic expressions.