Solve for p 2(3-p)-17=41

$2 (3 - p) - 17 = 41$

Simplify $2 (3 - p) - 17$ .

Simplify each term.

Apply the distributive property.

$2 \cdot 3 + 2 (- p) - 17 = 41$

Multiply $2$ by $3$ .

$6 + 2 (- p) - 17 = 41$

Multiply $- 1$ by $2$ .

$6 - 2 p - 17 = 41$

Subtract $17$ from $6$ .

$- 2 p - 11 = 41$

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

Add $11$ to both sides of the equation.

$- 2 p = 41 + 11$

Add $41$ and $11$ .

$- 2 p = 52$

Divide each term in $- 2 p = 52$ by $- 2$ and simplify.

Divide each term in $- 2 p = 52$ by $- 2$ .

$\frac{- 2 p}{- 2} = \frac{52}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 p}{- 2} = \frac{52}{- 2}$

Divide $p$ by $1$ .

$p = \frac{52}{- 2}$

Simplify the right side.

Divide $52$ by $- 2$ .

$p = - 26$