Solve 40=k*(40-20)/0.05

$$40 = k \cdot \frac { ( 40 - 20 ) } { 0.05 }$$

Solve for k

$$k=0.1$$

Steps for Solving Linear Equation

Subtract 20 from 40 to get 20.

$$40=k\times \frac{20}{0.05}$$

Expand \frac{20}{0.05} by multiplying both numerator and the denominator by 100.

$$40=k\times \frac{2000}{5}$$

Divide 2000 by 5 to get 400.

$$40=k\times 400$$

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

$$k\times 400=40$$

Divide both sides by 400.

$$k=\frac{40}{400}$$

Reduce the fraction \frac{40}{400} to lowest terms by extracting and canceling out 40.

$$k=\frac{1}{10}$$