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

Answer 1

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:

$$n=\frac{6÷3}{15÷3}=\frac{2}{5}.$$

Thus, the solution is

$$\boxed{{\displaystyle \frac{2}{5}}}.$$