What is the solution to the linear equation 6k + 10.5 = 3k + 12?
k = 0.5, k = 2, k = 7.3, k = 9

Solution:

Let’s simplify the linear equation and combine the like terms.

Let's use the balancing method to isolate the variable k and find the solution. 

Step 1: Subtract 3k from both sides.

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

3k + 10.5 = 12

Step 2: Subtract 10.5 from both sides.

3k + 10.5 - 10.5 = 12 - 10.5

3k = 1.5

Step 3: Divide both sides by 3.

3k / 3 = 1.5 /3

k = 0.5

The solution to the linear equation 6k + 10.5 = 3k + 12 is k = 0.5

What is the solution to the linear equation 6k + 10.5 = 3k + 12?
k = 0.5, k = 2, k = 7.3, k = 9

Summary:

The solution is k = 0.5 to the linear equation 6k + 10.5 = 3k + 12.