31. During the 4-hour dinner rush, Ty fried the number of foods represented by this expression: 4(2k+2) Use the distributive property to write an equivalent expression.

## Step 1The problem involves the use of the distributive property in algebra. The distributive property is a property of real numbers that states that the product of a number and the sum of two other numbers is equal to the sum of the products of the number and each of the other two numbers. In mathematical terms, this is represented as:### \(a(b + c) = ab + ac\)## Step 2In the given expression \(4(2k+2)\), we apply the distributive property. This means we multiply the number outside the parentheses (which is 4 in this case) by each term inside the parentheses (which are and ).## Step 3So, we multiply 4 by to get , and 4 by 2 to get 8.## Step 4Therefore, the equivalent expression after applying the distributive property is .