We have been given an equation [tex]34k+(6.3-8.1k)\div 0.9=22[/tex]. We are supposed to solve our given equation for k.
We can rewrite our given equation as:
[tex]34k+\frac{6.3-8.1k}{0.9}=22[/tex]
Let us multiply both sides of equation by 0.9.
[tex]34k\cdot 0.9+\frac{6.3-8.1k}{0.9}\cdot 0.9=22\cdot 0.9[/tex]
[tex]30.6k+6.3-8.1k=19.8[/tex]
[tex]22.5k+6.3=19.8[/tex]
[tex]22.5k+6.3-6.3=19.8-6.3[/tex]
[tex]22.5k=13.5[/tex]
[tex]\frac{22.5k}{22.5}=\frac{13.5}{22.5}[/tex]
[tex]k=0.6[/tex]
Therefore, the value of the k is 0.6.
