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Simplify the expression:

[tex]\[ 8v + 10v + 10 + 4v \][/tex]


Sagot :

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]
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