Solve for p -17p-p-14p+11p-1=20

$- 17 p - p - 14 p + 11 p - 1 = 20$

Step 1

Simplify $- 17 p - p - 14 p + 11 p - 1$ .

Subtract $p$ from $- 17 p$ .

$- 18 p - 14 p + 11 p - 1 = 20$

Subtract $14 p$ from $- 18 p$ .

$- 32 p + 11 p - 1 = 20$

Add $- 32 p$ and $11 p$ .

$- 21 p - 1 = 20$

Step 2

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

Add $1$ to both sides of the equation.

$- 21 p = 20 + 1$

Add $20$ and $1$ .

$- 21 p = 21$

Step 3

Divide each term in $- 21 p = 21$ by $- 21$ and simplify.

Divide each term in $- 21 p = 21$ by $- 21$ .

$\frac{- 21 p}{- 21} = \frac{21}{- 21}$

Simplify the left side.

Cancel the common factor of $- 21$ .

Cancel the common factor.

$\frac{- 21 p}{- 21} = \frac{21}{- 21}$

Divide $p$ by $1$ .

$p = \frac{21}{- 21}$

Simplify the right side.

Divide $21$ by $- 21$ .

$p = - 1$