Solve for p 19=-23+6(2-p)

$19 = - 23 + 6 (2 - p)$

Step 1

Rewrite the equation as $- 23 + 6 (2 - p) = 19$ .

$- 23 + 6 (2 - p) = 19$

Step 2

Simplify $- 23 + 6 (2 - p)$ .

Simplify each term.

Apply the distributive property.

$- 23 + 6 \cdot 2 + 6 (- p) = 19$

Multiply $6$ by $2$ .

$- 23 + 12 + 6 (- p) = 19$

Multiply $- 1$ by $6$ .

$- 23 + 12 - 6 p = 19$

Add $- 23$ and $12$ .

$- 11 - 6 p = 19$

Step 3

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

Add $11$ to both sides of the equation.

$- 6 p = 19 + 11$

Add $19$ and $11$ .

$- 6 p = 30$

Step 4

Divide each term in $- 6 p = 30$ by $- 6$ and simplify.

Divide each term in $- 6 p = 30$ by $- 6$ .

$\frac{- 6 p}{- 6} = \frac{30}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 p}{- 6} = \frac{30}{- 6}$

Divide $p$ by $1$ .

$p = \frac{30}{- 6}$

Simplify the right side.

Divide $30$ by $- 6$ .

$p = - 5$