Solve for Q 6Q=14-2P

$6 Q = 14 - 2 P$

Divide each term in $6 Q = 14 - 2 P$ by $6$ .

$\frac{6 Q}{6} = \frac{14}{6} + \frac{- 2 P}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 Q}{6} = \frac{14}{6} + \frac{- 2 P}{6}$

Divide $Q$ by $1$ .

$Q = \frac{14}{6} + \frac{- 2 P}{6}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $14$ and $6$ .

Factor $2$ out of $14$ .

$Q = \frac{2 (7)}{6} + \frac{- 2 P}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$Q = \frac{2 \cdot 7}{2 \cdot 3} + \frac{- 2 P}{6}$

Cancel the common factor.

$Q = \frac{2 \cdot 7}{2 \cdot 3} + \frac{- 2 P}{6}$

Rewrite the expression.

$Q = \frac{7}{3} + \frac{- 2 P}{6}$

Cancel the common factor of $- 2$ and $6$ .

Factor $2$ out of $- 2 P$ .

$Q = \frac{7}{3} + \frac{2 (- P)}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$Q = \frac{7}{3} + \frac{2 (- P)}{2 (3)}$

Cancel the common factor.

$Q = \frac{7}{3} + \frac{2 (- P)}{2 \cdot 3}$

Rewrite the expression.

$Q = \frac{7}{3} + \frac{- P}{3}$

Move the negative in front of the fraction.

$Q = \frac{7}{3} - \frac{P}{3}$