## Finding Equivalent Expressions for (6m - 7) ⋅ 4

In mathematics, an equivalent expression is an expression that has the same value as another expression, even though it might look different. We can use the distributive property to find equivalent expressions.

### The Distributive Property

The distributive property states that for any numbers a, b, and c:

**a ⋅ (b + c) = (a ⋅ b) + (a ⋅ c)**

This means we can multiply a number outside the parentheses by each term inside the parentheses separately.

### Finding an Equivalent Expression for (6m - 7) ⋅ 4

Let's apply the distributive property to our expression:

**Identify the terms:**In the expression (6m - 7) ⋅ 4, our terms are**6m**and**-7**.**Distribute the multiplication:**Multiply each term inside the parentheses by 4:- (6m ⋅ 4) + (-7 ⋅ 4)

**Simplify:**- 24m - 28

Therefore, an equivalent expression for (6m - 7) ⋅ 4 is **24m - 28**.

### Important Note:

Remember that you can always check your answer by plugging in a value for *m* into both the original expression and the equivalent expression. The results should be the same.