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

Explanation:

Step1: Move like - terms together

Subtract $3k$ from both sides and subtract $10.5$ from both sides of the equation $6k + 10.5=3k + 12$. $6k-3k=12 - 10.5$

Step2: Simplify both sides

On the left - hand side, $6k-3k = 3k$, and on the right - hand side, $12-10.5 = 1.5$. So we have $3k=1.5$.

Step3: Solve for $k$

Divide both sides of the equation $3k = 1.5$ by $3$. $k=\frac{1.5}{3}$ $k = 0.5$

Answer:

$k = 0.5$