## Introduction

In this lesson, we will learn how to simplify an algebraic expression. Before we start though, let's review the key term:### Key Term

**Expression**uses variables, numbers, and operations to express values in Algebra

## Simplifying Algebraic Expressions

Let's say that we have the following expression:15 ( 2n + 3 ) - 10

In order to simplify this expression, we can use the

**Distributive Property.**

Step 1:

Distribute 15 to 2n and 3.

15 x 2n = 30n

15 x 3 = 45

That means we now have

30n + 45 -10

Step 2:

**Combine Like Terms**

Remember that Like Terms are terms that are alike and you can put together

Also remember that you can only combine

**variables**with variables and

**constants**with constants.

Variable: a letter used to replace a value in algebra

Constants: Numbers without a variable in algebra

So, our like terms are +45 and -10.

Think of it like this:

I have 45 dollars (+45) and I owe 10 dollars to a friend (-10). How many dollars do I have left?

To find the difference, we'll simply subtract!

45 - 10 = 35

That means we have 35 dollars left or +35!

Step 3:

Rewrite simplified expression!

15 ( 2n + 3 ) - 10

30n +45 - 10

**30n +35**

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