Solve for p -p/3-8=3

$- \frac{p}{3} - 8 = 3$

Step 1

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

Add $8$ to both sides of the equation.

$- \frac{p}{3} = 3 + 8$

Add $3$ and $8$ .

$- \frac{p}{3} = 11$

Step 2

Multiply both sides of the equation by $- 3$ .

$- 3 (- \frac{p}{3}) = - 3 \cdot 11$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 3 (- \frac{p}{3})$ .

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{p}{3}$ into the numerator.

$- 3 \frac{- p}{3} = - 3 \cdot 11$

Factor $3$ out of $- 3$ .

$3 (- 1) \frac{- p}{3} = - 3 \cdot 11$

Cancel the common factor.

$3 \cdot - 1 \frac{- p}{3} = - 3 \cdot 11$

Rewrite the expression.

$- - p = - 3 \cdot 11$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 p = - 3 \cdot 11$

Multiply $p$ by $1$ .

$p = - 3 \cdot 11$

Simplify the right side.

Multiply $- 3$ by $11$ .

$p = - 33$