Question

simplify the expression:
10 + 6v + 7v + 7v

Explanation:

Step1: Identify like terms

The like terms here are the terms with \( v \), which are \( 6v \), \( 7v \), and \( 7v \). The constant term is \( 10 \).

Step2: Combine like terms

To combine the like terms with \( v \), we add their coefficients: \( 6 + 7 + 7 = 20 \). So the combined term for the \( v \)-terms is \( 20v \).

Step3: Write the simplified expression

Now we combine the constant term and the combined \( v \)-term. The simplified expression is \( 10 + 20v \) (or \( 20v + 10 \) as addition is commutative).

Answer:

\( 10 + 20v \) (or \( 20v + 10 \))