To solve for \( n \) in the equation
\[ -6 = -15n, \]
you can start by isolating \( n \). First, divide both sides of the equation by \(-15\):
\[ n = \frac{-6}{-15}. \]
The negatives cancel out, so this simplifies to:
\[ n = \frac{6}{15}. \]
Next, simplify the fraction \(\frac{6}{15}\). The greatest common divisor of 6 and 15 is 3, so we can divide both the numerator and the denominator by 3:
\[ n = \frac{6 \div 3}{15 \div 3} = \frac{2}{5}. \]
Thus, the solution is
\[ \boxed{\frac{2}{5}}. \]