Answer:
[tex]-\dfrac{14}{15}-\dfrac{1}{3}v[/tex]
Step-by-step explanation:
Given expression:
[tex]-\dfrac{6}{5}-\dfrac{2}{3}v+\dfrac{4}{15}+\dfrac{1}{3}v[/tex]
Collect like terms:
[tex]\implies \dfrac{4}{15}-\dfrac{6}{5}+\dfrac{1}{3}v-\dfrac{2}{3}v[/tex]
Make the denominators for the like terms the same:
[tex]\implies \dfrac{4}{15}-\dfrac{6 \times 3}{5 \times 3}+\dfrac{1}{3}v-\dfrac{2}{3}v[/tex]
[tex]\implies \dfrac{4}{15}-\dfrac{18}{15}+\dfrac{1}{3}v-\dfrac{2}{3}v[/tex]
Combine like terms:
[tex]\implies \dfrac{4-18}{15}+\dfrac{1-2}{3}v[/tex]
[tex]\implies -\dfrac{14}{15}-\dfrac{1}{3}v[/tex]
