Solve for n. You must write your answer in fully simplified form. -6 = -15n

1 answer

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

\[ \boxed{\frac{2}{5}}. \]