Solve for p m=7-3(p-m)

$m = 7 - 3 (p - m)$

Rewrite the equation as $7 - 3 (p - m) = m$ .

$7 - 3 (p - m) = m$

Simplify each term.

Apply the distributive property.

$7 - 3 p - 3 (- m) = m$

Multiply $- 1$ by $- 3$ .

$7 - 3 p + 3 m = m$

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

Subtract $7$ from both sides of the equation.

$- 3 p + 3 m = m - 7$

Subtract $3 m$ from both sides of the equation.

$- 3 p = m - 7 - 3 m$

Subtract $3 m$ from $m$ .

$- 3 p = - 2 m - 7$

Divide each term in $- 3 p = - 2 m - 7$ by $- 3$ and simplify.

Divide each term in $- 3 p = - 2 m - 7$ by $- 3$ .

$\frac{- 3 p}{- 3} = \frac{- 2 m}{- 3} + \frac{- 7}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 p}{- 3} = \frac{- 2 m}{- 3} + \frac{- 7}{- 3}$

Divide $p$ by $1$ .

$p = \frac{- 2 m}{- 3} + \frac{- 7}{- 3}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$p = \frac{(2) m}{3} + \frac{- 7}{- 3}$

Dividing two negative values results in a positive value.

$p = \frac{2 m}{3} + \frac{7}{3}$