Next we're going to see how we can use the distributive property to simplify expressions. Here we have the expression six times A plus three with the A plus three written in parentheses. Now, if we were to try to simplify this expression using the order of operations, we would start with what's inside the parentheses, the A plus three. However, we can't simplify it any more than it is. A and three are two different kinds of terms. We have a variable and a number, a constant term. We can't combine them, we can't simplify it. So the only way that we can simplify this expression is by using the distributive property. And remember, the distributive property tells us that we take whatever number or variable is in front of the parentheses and multiply it by each term that's on the inside. So let's go ahead and do that. We have six multiplied by the A, and we would just write that as six A, and then we take that six and multiply it by the plus three, which would give us plus 18. So our final simplified expression is just six A plus 18. And that will be our final answer. Next, we have five times two n plus seven. We're going to follow the same steps that we just did. We're going to multiply that outside number by each term that's inside the parentheses, each as a separate step. So first we have five times two n. Now here we have the number five, and then we also have the number two as a coefficient of n. The five and two can be multiplied together, and the n will stay as it is. So that will give us ten n. Five times two gives us ten, and then just bring down the n rate next to it. Now we can go ahead and multiply the five times the positive seven. Five times seven would give us 35, a positive 35. So our final simplified expression we read as ten n plus 35. Let's do one more. Here we have nine times Y minus three, same steps as before, nine times y, which we'll write as nine y. Then we have nine times or minus three, which we can treat as a negative three. Remember, keep the sign that's to the left of the term with it so that you know whether to treat it as a positive or a negative number. Okay? If we ignored that subtraction sign, we wouldn't know that this three needed to be treated as a negative three. So, very important, whenever you see subtraction signs and negative signs, just take your time and think each step through. So nine times a negative three gives us negative 27. So the simplified expression is 9y -27. And those are the steps for using the distributive property to simplify expressions.