Question

Find the missing variable. 3k+4(-k+2)=14k-22

Answer 1

Explanation:

Use the Distributive Property:

`3k - 4k + 8 = 14k - 22`

`- k + 8 = 14k - 22`

Add k to both sides:

`8 = 15k - 22`

Add 22 to both sides:

`30 = 15k`

Divide each side by 15:

`2 = k`

Answer 2

k=2

Explanation:

Expanding gives

`3k-4k+8=14k-22`.

Further simplification yields

`-k+8=14k-22`

`15k=30`

`k=2`.