what is the solution to the linear equation?\n6k + 10.5 = 3k + 12\nk = 0.5\nk = 2\nk = 7.3\nk = 9

Explanation:

Step1: Move like - terms together

Subtract $3k$ from both sides: $6k - 3k+10.5=3k - 3k + 12$, which simplifies to $3k+10.5 = 12$.

Step2: Isolate the variable term

Subtract $10.5$ from both sides: $3k+10.5 - 10.5=12 - 10.5$, getting $3k=1.5$.

Step3: Solve for $k$

Divide both sides by $3$: $\frac{3k}{3}=\frac{1.5}{3}$, so $k = 0.5$.

Answer:

$k = 0.5$