To solve the equation [tex]\(\frac{5}{3}v + 4 + \frac{1}{3}v = 8\)[/tex], we first want to simplify and combine like terms on the left-hand side.
1. Combine the terms involving [tex]\(v\)[/tex]:
[tex]\[
\frac{5}{3}v + \frac{1}{3}v = \left(\frac{5}{3} + \frac{1}{3}\right)v = \frac{6}{3}v = 2v
\][/tex]
2. Now substitute [tex]\(2v\)[/tex] back into the equation:
[tex]\[
2v + 4 = 8
\][/tex]
The resulting equation after the first step in solving is:
[tex]\[
2v + 4 = 8
\][/tex]
