## Using the Distributive Property with (7 - 4n) x 6

The distributive property is a fundamental concept in algebra that allows us to simplify expressions involving multiplication. It states that multiplying a sum by a number is the same as multiplying each term of the sum by that number individually.

In this case, we have (7 - 4n) multiplied by 6. To apply the distributive property, we need to distribute the 6 to each term inside the parentheses:

**(7 - 4n) x 6 = 7 x 6 - 4n x 6**

Now, we can simplify the multiplication:

**42 - 24n**

Therefore, the expression (7 - 4n) x 6, when simplified using the distributive property, is equal to **42 - 24n**.

### Key Points to Remember:

**Distributive Property:**a(b + c) = ab + ac**Multiplication over Subtraction:**The distributive property works with both addition and subtraction.**Order of Operations:**Remember to multiply before combining like terms.

### Example:

Let's say n = 2. We can substitute this value into our simplified expression:

42 - 24n = 42 - 24(2) = 42 - 48 = -6

Therefore, if n = 2, then (7 - 4n) x 6 = -6.

### Conclusion

Understanding the distributive property is crucial for simplifying algebraic expressions. By applying this property correctly, we can break down complex expressions into simpler terms and solve for variables efficiently.