# How do you solve -10-n/5=7?

May 13, 2017

$n = - 85$

#### Explanation:

$\text{to eliminate the fraction, multiply ALL terms by 5}$

$\Rightarrow \left(- 10 \times 5\right) + \cancel{5} \times - \frac{n}{\cancel{5}} = \left(7 \times 5\right)$

$\Rightarrow - 50 - n = 35$

$\text{add 50 to both sides}$

$\cancel{- 50} \cancel{+ 50} - n = 35 + 50$

$\Rightarrow - n = 85$

$\text{multiply both sides by - 1}$

$\Rightarrow n = - 85$

$\textcolor{b l u e}{\text{As a check}}$

Substitute this value into the left side of the equation and if equal to the right side then it is the solution

$\text{left side } = - 10 - \frac{\left(- 85\right)}{5} = - 10 + 17 = 7 =$

$\Rightarrow n = - 85 \text{ is the solution}$

May 13, 2017

-85

#### Explanation:

Move 10 to the other side of the equation and change the sign

$- \frac{n}{5} = 7 + 10$
$- \frac{n}{5} = 17$

Multiply 17 by 5

$- n = 85$

Move the - sign to the other side

$n = - 85$