Final answer:
To simplify the expression, distribute the multiplication and then combine like terms.
Step-by-step explanation:
To simplify the given expression, start by distributing the multiplication:
3xz + (5x + 3z)(7x - 2xz + y - 4z)
= 3xz + 35x² - 10x²z + 5xy - 15xz + 7xy - 14x²z + 3yz - 12z²
Combining like terms, we have:
35x² - 24x²z + 8xy - 12xz + 3yz - 12z²
So, the simplified form of the expression is 35x² - 24x²z + 8xy - 12xz + 3yz - 12z².