# How do you solve -30n=-27n-63?

Jun 22, 2016

$n = 21$

#### Explanation:

$- 30 n = - 27 n - 63$

Now adding $27 n$ on both sides

$- 30 n + 27 n = - 27 n + 27 n - 63$

or $- 30 n + 27 n = - \cancel{27 n} + \cancel{27 n} - 63$

or $- 3 n = - 63$

Now multiplying each side by $- \frac{1}{3}$, multiplicative inverse of $- 3$ coefficient of $n$, we get

or $- 3 n \times - \frac{1}{3} = - 63 \times - \frac{1}{3}$

or $n = - 63 \times - \frac{1}{3} = - 21 \cancel{63} \times - \frac{1}{\cancel{3}}$

or $n = 21$