Solve for p -7p-6+6p=2p+9

$- 7 p - 6 + 6 p = 2 p + 9$

Step 1

Add $- 7 p$ and $6 p$ .

$- p - 6 = 2 p + 9$

Step 2

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

Subtract $2 p$ from both sides of the equation.

$- p - 6 - 2 p = 9$

Subtract $2 p$ from $- p$ .

$- 3 p - 6 = 9$

Step 3

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

Add $6$ to both sides of the equation.

$- 3 p = 9 + 6$

Add $9$ and $6$ .

$- 3 p = 15$

Step 4

Divide each term in $- 3 p = 15$ by $- 3$ and simplify.

Divide each term in $- 3 p = 15$ by $- 3$ .

$\frac{- 3 p}{- 3} = \frac{15}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 p}{- 3} = \frac{15}{- 3}$

Divide $p$ by $1$ .

$p = \frac{15}{- 3}$

Simplify the right side.

Divide $15$ by $- 3$ .

$p = - 5$