Solve mn/4+4(m+1)0.075=68

$$\frac { m n } { 4 } + 4 ( m + 1 ) 0.075 = 68$$

Solve for m

$$m=\frac{1354}{5\left(n+1.2\right)}$$

$$n\neq -\frac{6}{5}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$mn+16\left(m+1\right)\times 0.075=272$$

Multiply 16 and 0.075 to get 1.2.

$$mn+1.2\left(m+1\right)=272$$

Use the distributive property to multiply 1.2 by m+1.

$$mn+1.2m+1.2=272$$

Subtract 1.2 from both sides.

$$mn+1.2m=272-1.2$$

Subtract 1.2 from 272 to get 270.8.

$$mn+1.2m=270.8$$

Combine all terms containing m.

$$\left(n+1.2\right)m=270.8$$

Divide both sides by n+1.2.

$$\frac{\left(n+1.2\right)m}{n+1.2}=\frac{270.8}{n+1.2}$$

Dividing by n+1.2 undoes the multiplication by n+1.2.

$$m=\frac{270.8}{n+1.2}$$

Divide 270.8 by n+1.2.

$$m=\frac{1354}{5\left(n+1.2\right)}$$

Solve for n

$$n=-1.2+\frac{1354}{5m}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$mn+16\left(m+1\right)\times 0.075=272$$

Multiply 16 and 0.075 to get 1.2.

$$mn+1.2\left(m+1\right)=272$$

Use the distributive property to multiply 1.2 by m+1.

$$mn+1.2m+1.2=272$$

Subtract 1.2m from both sides.

$$mn+1.2=272-1.2m$$

Subtract 1.2 from both sides.

$$mn=272-1.2m-1.2$$

Subtract 1.2 from 272 to get 270.8.

$$mn=270.8-1.2m$$

The equation is in standard form.

$$mn=\frac{1354-6m}{5}$$

Divide both sides by m.

$$\frac{mn}{m}=\frac{1354-6m}{5m}$$

Dividing by m undoes the multiplication by m.

$$n=\frac{1354-6m}{5m}$$

Divide \frac{1354-6m}{5} by m.

$$n=-\frac{6}{5}+\frac{1354}{5m}$$