Solve for m 8n=-3m+1

$8 n = - 3 m + 1$

Rewrite the equation as $- 3 m + 1 = 8 n$ .

$- 3 m + 1 = 8 n$

Subtract $1$ from both sides of the equation.

$- 3 m = 8 n - 1$

Divide each term in $- 3 m = 8 n - 1$ by $- 3$ and simplify.

Divide each term in $- 3 m = 8 n - 1$ by $- 3$ .

$\frac{- 3 m}{- 3} = \frac{8 n}{- 3} + \frac{- 1}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 m}{- 3} = \frac{8 n}{- 3} + \frac{- 1}{- 3}$

Divide $m$ by $1$ .

$m = \frac{8 n}{- 3} + \frac{- 1}{- 3}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$m = - \frac{8 n}{3} + \frac{- 1}{- 3}$

Dividing two negative values results in a positive value.

$m = - \frac{8 n}{3} + \frac{1}{3}$