# How do you solve -204= - 6( 4p + 6)?

Sep 10, 2016

$p = 7$

#### Explanation:

$- 204 = - 6 \left(4 p + 6\right)$

or

$6 \left(4 p + 6\right) = 204$

or

$4 p + 6 = \frac{204}{6}$

or

$4 p + 6 = 34$

or

$4 p = 34 - 6$

or

$4 p = 28$

or

$p = \frac{28}{4}$

or

$p = 7$

Sep 10, 2016

$p = 7$

#### Explanation:

$- 204 = - 6 \left(4 p + 6\right)$
$- 204 = - 24 p - 36$
to make the variable positive, we have to shift the variable
$24 p = 204 - 36$
$24 p = 168$
$p = \frac{168}{24}$
$p = 7$
Verification
$- 204 = - 6 \left(4 \left(7\right) + 6\right)$
$- 204 = - 6 \left(28 + 6\right)$
$- 204 = - 168 - 36$
$- 204 = - 204$