To solve the given equation, [tex]\(\frac{5}{3} v + 4 + \frac{1}{3} v = 8\)[/tex], let's break it down step-by-step.
1. Combine Like Terms: We first look at the terms involving [tex]\(v\)[/tex]. We have [tex]\(\frac{5}{3} v\)[/tex] and [tex]\(\frac{1}{3} v\)[/tex]. These are like terms and can be combined.
- Adding [tex]\(\frac{5}{3} v\)[/tex] and [tex]\(\frac{1}{3} v\)[/tex] gives us:
[tex]\[
\frac{5}{3} v + \frac{1}{3} v = \left(\frac{5+1}{3}\right) v = \frac{6}{3} v = 2v
\][/tex]
2. Substitute Combined Terms back into the Equation: The equation now simplifies to:
[tex]\[
2v + 4 = 8
\][/tex]
After combining the like terms, the resulting equation is:
[tex]\[
2v + 4 = 8
\][/tex]
So, the correct answer is [tex]\(2v + 4 = 8\)[/tex].
