3/4 k-(k+1/5)=1/20 (k+4)
You asked:
Solve the equation \(\frac{3}{4} k - \left(k + \frac{1}{5}\right) = \frac{1}{20} \left(k + 4\right)\) for the variable \(k\).
MathBot Answer:
The solution is: \[k = - \frac{4}{3} = -1.\overline{3}\]
\[\begin{aligned}- \frac{k}{4} - \frac{1}{5} &= \frac{k}{20} + \frac{1}{5}\\- \frac{3 k}{10} &= \frac{2}{5}\\k &= - \frac{4}{3}\end{aligned}\]