Solve for n 7m+2=6n-5

$7 m + 2 = 6 n - 5$

Rewrite the equation as $6 n - 5 = 7 m + 2$ .

$6 n - 5 = 7 m + 2$

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

Add $5$ to both sides of the equation.

$6 n = 7 m + 2 + 5$

Add $2$ and $5$ .

$6 n = 7 m + 7$

Divide each term in $6 n = 7 m + 7$ by $6$ and simplify.

Divide each term in $6 n = 7 m + 7$ by $6$ .

$\frac{6 n}{6} = \frac{7 m}{6} + \frac{7}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 n}{6} = \frac{7 m}{6} + \frac{7}{6}$

Divide $n$ by $1$ .

$n = \frac{7 m}{6} + \frac{7}{6}$