What is the solution to this equation?

Question

24 + 1.25k = 0.75(16-5k)-4

Answer 1

To find the solution to the equation, we need to isolate the variable k.

First, we can simplify the equation by distributing the 0.75 on the right side:
24 + 1.25k = 12 - 3.75k - 4

Combining like terms on the right side:
24 + 1.25k = 8 - 3.75k

Now, let's group the k terms on one side and the constant terms on the other side:
1.25k + 3.75k = 8 - 24

Combining like terms on both sides:
5k = -16

Finally, we can solve for k by dividing both sides of the equation by 5:
k = -16 / 5

Therefore, the solution to the equation is k = -16/5.