Chapter 2 - Solving Equations - 2-3 Solving Multi-Step Equations - Practice and Problem-Solving Exercises - Page 98: 32

$n=-2$

We start with the given equation: $\frac{n}{5}-\frac{3n}{10}=\frac{1}{5}$ We multiply both sides by a common denominator, $10$, to clear the fractions from the equation: $10(\frac{n}{5}-\frac{3n}{10}=\frac{1}{5})$ $2n-3n=2$ We combine like terms:$-n=2$ We divide by $-1$ on both sides: $n=\frac{2}{-1}=-2$