What property of equality is displayed in step 3 in the solving of 9m+4-7m=\frac{5m+7}{3}

To determine the property of equality displayed in step 3 of solving the equation \( 9m + 4 - 7m = \frac{5m + 7}{3} \), we need to analyze the steps typically taken to solve such an equation.

First, let's simplify the left-hand side:

1. **Combine like terms**:
\( 9m - 7m + 4 = 2m + 4 \)

Now the equation becomes:
\[ 2m + 4 = \frac{5m + 7}{3} \]

Next, a common step would be to eliminate the fraction by multiplying both sides of the equation by 3 to facilitate further simplification:

2. **Multiply both sides by 3**:
\[ 3(2m + 4) = 5m + 7 \]

This step demonstrates the **Multiplication Property of Equality**, which states that if two expressions are equal, you can multiply both sides by the same non-zero number and the equality will still hold.

Thus, in step 3 where you multiply both sides by 3, the property of equality displayed is the **Multiplication Property of Equality**.