Solve for p -19p-2p+16p+12=-18

$- 19 p - 2 p + 16 p + 12 = - 18$

Step 1

Simplify $- 19 p - 2 p + 16 p + 12$ .

Subtract $2 p$ from $- 19 p$ .

$- 21 p + 16 p + 12 = - 18$

Add $- 21 p$ and $16 p$ .

$- 5 p + 12 = - 18$

Step 2

Move all terms not containing $p$ to the right side of the equation.

Subtract $12$ from both sides of the equation.

$- 5 p = - 18 - 12$

Subtract $12$ from $- 18$ .

$- 5 p = - 30$

Step 3

Divide each term in $- 5 p = - 30$ by $- 5$ and simplify.

Divide each term in $- 5 p = - 30$ by $- 5$ .

$\frac{- 5 p}{- 5} = \frac{- 30}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 p}{- 5} = \frac{- 30}{- 5}$

Divide $p$ by $1$ .

$p = \frac{- 30}{- 5}$

Simplify the right side.

Divide $- 30$ by $- 5$ .

$p = 6$