Solve for p 6+15p-15=17p+19

$6 + 15 p - 15 = 17 p + 19$

Subtract $15$ from $6$ .

$15 p - 9 = 17 p + 19$

Move all terms containing $p$ to the left side of the equation.

Subtract $17 p$ from both sides of the equation.

$15 p - 9 - 17 p = 19$

Subtract $17 p$ from $15 p$ .

$- 2 p - 9 = 19$

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

Add $9$ to both sides of the equation.

$- 2 p = 19 + 9$

Add $19$ and $9$ .

$- 2 p = 28$

Divide each term in $- 2 p = 28$ by $- 2$ and simplify.

Divide each term in $- 2 p = 28$ by $- 2$ .

$\frac{- 2 p}{- 2} = \frac{28}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 p}{- 2} = \frac{28}{- 2}$

Divide $p$ by $1$ .

$p = \frac{28}{- 2}$

Simplify the right side.

Divide $28$ by $- 2$ .

$p = - 14$