Solve for n 3nb=5n-6z

$3 n b = 5 n - 6 z$

Subtract $5 n$ from both sides of the equation.

$3 n b - 5 n = - 6 z$

Factor $n$ out of $3 n b - 5 n$ .

Factor $n$ out of $3 n b$ .

$n (3 b) - 5 n = - 6 z$

Factor $n$ out of $- 5 n$ .

$n (3 b) + n \cdot - 5 = - 6 z$

Factor $n$ out of $n (3 b) + n \cdot - 5$ .

$n (3 b - 5) = - 6 z$

Divide each term in $n (3 b - 5) = - 6 z$ by $3 b - 5$ and simplify.

Divide each term in $n (3 b - 5) = - 6 z$ by $3 b - 5$ .

$\frac{n (3 b - 5)}{3 b - 5} = \frac{- 6 z}{3 b - 5}$

Simplify the left side.

Cancel the common factor of $3 b - 5$ .

Cancel the common factor.

$\frac{n (3 b - 5)}{3 b - 5} = \frac{- 6 z}{3 b - 5}$

Divide $n$ by $1$ .

$n = \frac{- 6 z}{3 b - 5}$

Simplify the right side.

Move the negative in front of the fraction.

$n = - \frac{6 z}{3 b - 5}$