Sure, let's simplify the given expression step-by-step.
### Given Expression
[tex]\[ 8v + 10v + 10 + 4v \][/tex]
### Step 1: Combine Like Terms
First, we identify and combine like terms. Like terms are terms that have the same variable part. In this expression, we have several terms involving the variable [tex]\( v \)[/tex]:
[tex]\[ 8v + 10v + 4v \][/tex]
These are all terms involving the variable [tex]\( v \)[/tex]. We add their coefficients together:
[tex]\[ 8 + 10 + 4 \][/tex]
Which equals:
[tex]\[ 22 \][/tex]
So, the terms involving [tex]\( v \)[/tex] combine to give:
[tex]\[ 22v \][/tex]
### Step 2: Identify Constant Term
Now, we look at the constant term, which has no variable associated with it. In this expression, the constant term is:
[tex]\[ 10 \][/tex]
### Step 3: Write the Simplified Expression
After combining the like terms and identifying the constant term, we can write the simplified expression as:
[tex]\[ 22v + 10 \][/tex]
### Final Simplified Expression
Therefore, the simplified form of the given expression [tex]\( 8v + 10v + 10 + 4v \)[/tex] is:
[tex]\[ 22v + 10 \][/tex]
