Question

What value of k makes the equation below true?

k - 2k + 3k - 4k + 5k - 6k + 7k - 8k + 9k - 10k = 100.

What does k equal?

Answer 1

k=-20

Explanation:

We move all terms to the left:

k-2k+3k-4k+5k-6k+7k-8k+9k-10k-(100)=0

We add all the numbers together, and all the variables

-5k-100=0

We move all terms containing k to the left, all other terms to the right

-5k=100

k=100/-5

k=-20