Certainly! Let's solve the given expression step-by-step:
Given the expression:
[tex]\[
(q + 5) + (5q + 1)
\][/tex]
Step 1: Distribute any parentheses.
In this case, we don't have multiplication that requires distribution within the parentheses, but we can combine like terms directly. The expression can be written as:
[tex]\[
q + 5 + 5q + 1
\][/tex]
Step 2: Combine like terms.
We identify the like terms involving [tex]\( q \)[/tex] and the constant terms.
- The terms involving [tex]\( q \)[/tex] are [tex]\( q \)[/tex] and [tex]\( 5q \)[/tex].
- The constant terms are [tex]\( 5 \)[/tex] and [tex]\( 1 \)[/tex].
First, let's combine the [tex]\( q \)[/tex]-terms:
[tex]\[
q + 5q = 6q
\][/tex]
Next, let's combine the constant terms:
[tex]\[
5 + 1 = 6
\][/tex]
Step 3: Combine the results from the like terms.
By combining these, we get:
[tex]\[
6q + 6
\][/tex]
So the expression simplifies to:
[tex]\[
6q + 6
\][/tex]
Therefore, the simplified form of the given expression [tex]\((q + 5) + (5q + 1)\)[/tex] is:
[tex]\[
6q + 6
\][/tex]
To conclude, the expression simplifies as follows:
[tex]\[
(q + 5) + (5q + 1) = 6q + 6
\][/tex]
