Solve 8(n)=23n-190n2

$$8 ( n ) = 23 n - 190 n 2$$

Solve for n

$$n=\frac{38n_{2}}{3}$$

Steps for Solving Linear Equation

Subtract 23n from both sides.

$$8n-23n=-190n_{2}$$

Combine 8n and -23n to get -15n.

$$-15n=-190n_{2}$$

Divide both sides by -15.

$$\frac{-15n}{-15}=-\frac{190n_{2}}{-15}$$

Dividing by -15 undoes the multiplication by -15.

$$n=-\frac{190n_{2}}{-15}$$

Divide -190n_{2} by -15.

$$n=\frac{38n_{2}}{3}$$

Solve for n_2

$$n_{2}=\frac{3n}{38}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$23n-190n_{2}=8n$$

Subtract 23n from both sides.

$$-190n_{2}=8n-23n$$

Combine 8n and -23n to get -15n.

$$-190n_{2}=-15n$$

Divide both sides by -190.

$$\frac{-190n_{2}}{-190}=-\frac{15n}{-190}$$

Dividing by -190 undoes the multiplication by -190.

$$n_{2}=-\frac{15n}{-190}$$

Divide -15n by -190.

$$n_{2}=\frac{3n}{38}$$