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

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

Let's break down how to apply the distributive property to the expression **(6m - 7) x 4**:

**1. Identify the terms:**
The expression contains two terms: **6m** and **-7**.

**2. Distribute the multiplication:**
Multiply each term inside the parentheses by 4:

**(6m) x 4 = 24m****(-7) x 4 = -28**

**3. Combine the results:**
The simplified expression after applying the distributive property is: **24m - 28**.

**Example:**

Let's say we want to find the value of the expression when *m = 2*. We can substitute this value into the original expression or the simplified one:

**Original expression:**(6(2) - 7) x 4 = (12 - 7) x 4 = 5 x 4 = 20**Simplified expression:**24(2) - 28 = 48 - 28 = 20

**Key takeaways:**

- The distributive property allows us to simplify complex expressions by breaking them down into smaller, easier-to-manage pieces.
- Remember to multiply each term inside the parentheses by the factor outside.
- The distributive property is a valuable tool for solving equations and manipulating algebraic expressions.