To simplify the given expression $(4a - 6b)3 + 44b$, follow these steps:

Step 1: Expand the expression

Distribute the $3$ to both terms inside the parentheses:

$3(4a - 6b) + 44b = 12a - 18b + 44b$

Step 2: Combine like terms

Combine the terms involving $b$:

$-18b + 44b = 26b$

Thus, the expression becomes:

$12a + 26b$

Final Answer:

$12a + 26b$

Would you like additional details or have questions? Here are some related questions to expand your understanding:

1. How can the distributive property be applied in more complex algebraic expressions?
2. What happens if there are additional parentheses in an expression like this one?
3. How do you identify like terms in an algebraic expression?
4. How can coefficients affect the simplification process of algebraic terms?
5. Can you factorize the final result $12a + 26b$ further?

Tip: Always double-check your work by simplifying step-by-step to ensure accuracy!