Solve for p m=8-2(p-m)

$m = 8 - 2 (p - m)$

Step 1

Rewrite the equation as $8 - 2 (p - m) = m$ .

$8 - 2 (p - m) = m$

Step 2

Simplify each term.

Apply the distributive property.

$8 - 2 p - 2 (- m) = m$

Multiply $- 1$ by $- 2$ .

$8 - 2 p + 2 m = m$

Step 3

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

Subtract $8$ from both sides of the equation.

$- 2 p + 2 m = m - 8$

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

$- 2 p = m - 8 - 2 m$

Subtract $2 m$ from $m$ .

$- 2 p = - m - 8$

Step 4

Divide each term in $- 2 p = - m - 8$ by $- 2$ and simplify.

Divide each term in $- 2 p = - m - 8$ by $- 2$ .

$\frac{- 2 p}{- 2} = \frac{- m}{- 2} + \frac{- 8}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 p}{- 2} = \frac{- m}{- 2} + \frac{- 8}{- 2}$

Divide $p$ by $1$ .

$p = \frac{- m}{- 2} + \frac{- 8}{- 2}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$p = \frac{m}{2} + \frac{- 8}{- 2}$

Divide $- 8$ by $- 2$ .

$p = \frac{m}{2} + 4$