Let's simplify the given expression:

$(5a - 3b) \times (-7)$

Distribute $-7$ to both terms inside the parentheses:

$(5a \times -7) + (-3b \times -7)$

$-35a + 21b$

So, the simplified result is:

$\mathbf{-35a + 21b}$

Would you like a step-by-step breakdown or have any questions?

Related Questions:

1. How do you distribute a negative number across parentheses?
2. What are the rules for multiplying positive and negative numbers?
3. How does the distributive property work in algebra?
4. Can you provide an example where distribution is used in a word problem?
5. How do you simplify expressions with multiple variables?

Tip:

Always be careful with signs when distributing—multiplying a negative by a negative gives a positive!