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].
