Answer: [tex]\bold{n=\dfrac{11}{6}}[/tex]
Step-by-step explanation:
[tex]\dfrac{3n-2}{5}=\dfrac{7}{10}\\\\\\10(3n-2)=5(7)\qquad \longrightarrow \quad \text{(cross multiplied)}\\\\30n-20=35\qquad \longrightarrow \quad \text{(distributed)}\\\\30n=55\qquad \longrightarrow \quad \text{(added 20 to both sides)}\\\\n=\dfrac{55}{30}\qquad \longrightarrow \quad \text{(divided 30 from both sides)}\\\\n=\dfrac{11}{6}\quad \longrightarrow \quad \text{(simplified fraction)}\\\\\\\large\boxed{n=\dfrac{11}{6}}\\[/tex]
