Answer :

Sure, let's simplify the given expression [tex]\( 4v + 3v \)[/tex].

1. Identify like terms: The terms [tex]\( 4v \)[/tex] and [tex]\( 3v \)[/tex] are both like terms because they each have the variable [tex]\( v \)[/tex].

2. Combine the coefficients: To combine like terms, we add the coefficients (the numerical parts) of the terms while keeping the variable part the same.

[tex]\[ 4v + 3v = (4 + 3)v \][/tex]

3. Perform the addition: Add the coefficients [tex]\( 4 \)[/tex] and [tex]\( 3 \)[/tex].

[tex]\[ 4 + 3 = 7 \][/tex]

4. Rewrite the expression with the new coefficient: Now that we've added the coefficients, we can rewrite the expression.

[tex]\[ (4 + 3)v = 7v \][/tex]

So, the simplified expression is [tex]\( 7v \)[/tex].

Answer:

7v

Step-by-step explanation:

4 v +3 v =(4+3)v =7v