Verified Answer :

6k+10.5=3k+12
     -10.5      -10.5
6k=3k+1.5
-3k  -3k
3k=1.5

Answer:  0.5

Step-by-step explanation:

The given equation: \(6k + 10.5 = 3k + 12\)

To solve the above equation for k , we first subtract 3k from both the sides , we get

\(6k + 10.5 -3k= 3k + 12-3k\\\\\Rightarrow\ 3k+10.5=12\)

Subtract 10.5 from both sides

\(3k=12-10.5\\\\\Rightarrow\ 3k=1.5\)

Divide 3 on both the sides , we get

\(k=\dfrac{1.5}{3}=0.5\)

Hence,  solution to the linear equation : k = 0.5