what property is being used in the equation 4p+7+7+4p.

In the equation 4p + 7 + 7 + 4p, the property being used is the distributive property of addition. This property allows us to distribute the coefficients (4 and 1) to the terms inside the parentheses.

To explain how this property is being used, let's break down the equation step by step:

Step 1: 4p + 7 + 7 + 4p
Step 2: (4p + 4p) + (7 + 7)
Step 3: 8p + 14

In step 2, we distributed the coefficient 4 to both terms inside the parentheses, which results in 4p + 4p. Similarly, we distributed the coefficient 1 to both terms inside the parentheses, which results in 7 + 7.

Therefore, the distributive property of addition is being used to simplify the expression by distributing the coefficients to the terms inside the parentheses.