Describe the error that was made when solving for k

Question

Solve for the correct solution. Make sure to show all work for credit.

k/4+6=-2
(4) times k/4+6= -2 times (4)
k+ 6-6 = 8-6
k = -14

Answer 1

The error made when solving for k is that the equation (4) times k/4+6= -2 times (4) was not accurately worked out.

To solve for k correctly, we need to distribute the multiplication correctly:

(4) * (k/4 + 6) = -2 * (4)

This simplifies to:

k + 24 = -8

Then, we isolate the k variable by subtracting 24 from both sides:

k = -8 - 24

This further simplifies to:

k = -32

Therefore, the correct solution for k is k = -32.