Solve for m 1-6mn=11-4mn

$1 - 6 m n = 11 - 4 m n$

Move all terms containing $m$ to the left side of the equation.

Add $4 m n$ to both sides of the equation.

$1 - 6 m n + 4 m n = 11$

Add $- 6 m n$ and $4 m n$ .

$1 - 2 m n = 11$

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

Subtract $1$ from both sides of the equation.

$- 2 m n = 11 - 1$

Subtract $1$ from $11$ .

$- 2 m n = 10$

Divide each term in $- 2 m n = 10$ by $- 2 n$ and simplify.

Divide each term in $- 2 m n = 10$ by $- 2 n$ .

$\frac{- 2 m n}{- 2 n} = \frac{10}{- 2 n}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 m n}{- 2 n} = \frac{10}{- 2 n}$

Rewrite the expression.

$\frac{m n}{n} = \frac{10}{- 2 n}$

Cancel the common factor of $n$ .

Cancel the common factor.

$\frac{m n}{n} = \frac{10}{- 2 n}$

Divide $m$ by $1$ .

$m = \frac{10}{- 2 n}$

Simplify the right side.

Cancel the common factor of $10$ and $- 2$ .

Factor $2$ out of $10$ .

$m = \frac{2 (5)}{- 2 n}$

Cancel the common factors.

Factor $2$ out of $- 2 n$ .

$m = \frac{2 (5)}{2 (- n)}$

Cancel the common factor.

$m = \frac{2 \cdot 5}{2 (- n)}$

Rewrite the expression.

$m = \frac{5}{- n}$

Move the negative in front of the fraction.

$m = - \frac{5}{n}$