Simplifying the Expression: 3a + 7 + 2(3 + a)
In this article, we will simplify the algebraic expression 3a + 7 + 2(3 + a). To simplify this expression, we will follow the order of operations (PEMDAS) and combine like terms.
Step 1: Evaluate the Expression Inside the Parentheses
First, we need to evaluate the expression inside the parentheses:
2(3 + a) = 2(3) + 2(a)
= 6 + 2a
So, the expression becomes:
3a + 7 + 6 + 2a
Step 2: Combine Like Terms
Now, we can combine like terms:
3a + 2a = 5a
The constant terms are:
7 + 6 = 13
So, the simplified expression is:
5a + 13
And that's the final answer! We have successfully simplified the expression 3a + 7 + 2(3 + a) to 5a + 13.
