## Simplifying Expressions using the Distributive Property

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

In simpler terms, **a(b + c) = ab + ac**.

Let's apply this to the expression **(6m - 7) ⋅ 4**.

### Breaking down the expression

**Identify the terms:**In this case, we have two terms:**6m**and**-7**.**Distribute the factor:**We multiply**4**by each term inside the parentheses:**4 * 6m = 24m****4 * -7 = -28**

### Final result

Combining these results, we get: **(6m - 7) ⋅ 4 = 24m - 28**.

Therefore, the simplified expression using the distributive property is **24m - 28**.

### Key takeaways

- The distributive property allows us to simplify complex expressions.
- It involves multiplying each term inside the parentheses by the factor outside.
- Remember to pay attention to the signs of the terms.

By mastering the distributive property, you can confidently simplify expressions and solve various algebraic equations.