How do you figure out the equation;

3k/5 + 44 = 12k/25 +8

What you wrote or

3k/(5 + 44) = 12k/(25 +8)

Looks ok to me:

collect the k stuff:

3k/5 - 12k/25 = 8 - 44
15k/25 - 12k/25 = -36
3k/25 = -36
k = -300

check

3k/5 + 44 = -136
12k/25 + 8 = -136

To figure out the equation 3k/5 + 44 = 12k/25 + 8, we need to simplify and solve for the variable k.

Step 1: Get rid of the fractions by finding a common denominator for the fractions involved. In this case, the least common denominator (LCD) is 25, so we'll multiply both sides of the equation by 25:

25 * (3k/5 + 44) = 25 * (12k/25 + 8)

Simplifying this gives us:
15k + 1100 = 12k + 200

Step 2: Combine like terms. In this equation, we have k terms and constant terms on both sides:

15k - 12k = 200 - 1100

Simplifying this further gives us:
3k = -900

Step 3: Isolate the variable k. To do this, we'll move the constant term to the opposite side by subtracting 200 from both sides of the equation:

3k - 200 = -900 - 200

Simplifying further:
3k = -1100

Step 4: Solve for k by dividing both sides of the equation by 3:

(3k/3) = (-1100/3)

Simplifying this gives us:
k = -1100/3

Therefore, the solution to the equation 3k/5 + 44 = 12k/25 + 8 is:
k = -1100/3