Solve (0.8*50-f)e^0.1*0.16667=3

$$( 0.8 \times 50 - f ) e ^ { 0.1 \times 0.16667 } = 3$$

Solve for f

$$f=-\frac{3}{e^{0.016667}}+40\approx 37.049586622$$

Steps for Solving Linear Equation

Multiply 0.8 and 50 to get 40.

$$\left(40-f\right)e^{0.1\times 0.16667}=3$$

Multiply 0.1 and 0.16667 to get 0.016667.

$$\left(40-f\right)e^{0.016667}=3$$

Use the distributive property to multiply 40-f by e^{0.016667}.

$$40e^{0.016667}-fe^{0.016667}=3$$

Subtract 40e^{0.016667} from both sides.

$$-fe^{0.016667}=3-40e^{0.016667}$$

The equation is in standard form.

$$\left(-e^{0.016667}\right)f=-40e^{0.016667}+3$$

Divide both sides by -e^{0.016667}.

$$\frac{\left(-e^{0.016667}\right)f}{-e^{0.016667}}=\frac{-40e^{0.016667}+3}{-e^{0.016667}}$$

Dividing by -e^{0.016667} undoes the multiplication by -e^{0.016667}.

$$f=\frac{-40e^{0.016667}+3}{-e^{0.016667}}$$

Divide 3-40e^{0.016667} by -e^{0.016667}.

$$f=-\frac{3}{e^{0.016667}}+40$$