# How do you solve -4( - 8- 2n ) - 5n = 7n + 16?

Jan 15, 2018

$n = 4$

#### Explanation:

1) Expand the bracket

$- 8 \cdot \left(- 4\right) = 32$

$- 4 \cdot \left(- 2 n\right) = 8 n$

$32 + 8 n - 5 n = 7 n + 16$

2) Solve the equation

$32 + 8 n - 5 n = 7 n + 16$

$32 + 3 n = 7 n + 16$

$32 - 16 + 3 n = 7 n + 16 - 16$

$16 + 3 n = 7 n$

$16 + 3 n - 3 n = 7 n - 3 n$

$16 = 4 n$

$n = \frac{16}{4}$

$n = 4$