# How do you solve 8p - 4p - ( p - 7) + 9p + 6= 12p?

Oct 19, 2016

This equation has no solution.

#### Explanation:

Begin by distributing the understood $- 1$:

$8 p - 4 p - \left(p - 7\right) + 9 p + 6 = 12 p$
$8 p - 4 p - p + 7 + 9 p + 6 = 12 p$

Now simplify the left side of the equation by combining like terms:

$12 p + 13 = 12 p$

Now subtract $12 p$ from both sides of the equation, in an attempt to get the variable terms together:

$12 p - 12 p + 13 = 12 p - 12 p$
$13 = 0$

However, the variable terms were completely eliminated, and $13$ is never equal to $0$, so

$13 \ne 0$

is the result. This means that this equation has no solution.