# How do you solve -7 = 1 + 2/3n?

Feb 24, 2016

$n = 9$

#### Explanation:

Given: $\text{ } - 7 = 1 + \frac{2}{3} n$

Step 1: Subtract 1 to both side to get

$7 \textcolor{red}{- 1} = \textcolor{red}{- 1} + 1 + \frac{2}{3} n$
$6 = \frac{2}{3} n$

Step 2: Multiply by the reciprocal to both side of the equation to get

$6 \textcolor{b l u e}{\left(\frac{3}{2}\right)} = \textcolor{b l u e}{\frac{3}{2}} \frac{2}{3} n$
((cancel2*3)/1)color(blue)((3/cancel(2)) = color(blue)(cancel(3/2) (cancel(2/3))n

$9 = n$

Answer: $n = 9$