Question

How do you solve `35+8k=-5k-8(-2k-4)`?

Answer 1

`k=1`

Explanation:

Our main goal is to solve this, and to do so we have to make the equation on the left and the right equal each other. However, we don't know what k is so we have to solve for that first.

On the right side, we should at least distribute -8 into the values inside of the parentheses so we should get

`-5k+16k+32`.

We should combine like terms to get...

`11k+32`.

Now if we place back in the left side `35+8k=11k+32`.

We should subtract 32 on both sides and 11k to get...

`3=3k`

Divide both sides by 3 to get...

`k=1`.

We can plug this back into the original equation to check our answer and get...

`35+8(1)=-5(1)-8(-2(1)-4)`

`43=-5+48`

`43=43`

Answer 2

`k=1`

Explanation:

`35 +8k =-5k-8(-2k-4)`
Let's start by using the distributive property.
`35 +8k = -5k+(-8)(-2k)+(-8)(-4)`
`35 +8k =-5k+16k+32`
`35 +8k = 11k +32`
Subtract `color(red)(11k)` from both sides
`8k +35 - color(red)(11k)=11k +32 -color(red)(11k)`
`-3k +35 = 32`
Subtract `color(red)(35)`
`-3k +35 - 35 = 32-35`
`-3k = -3`
Divide both sides by `color(red)(-3)`
`(-3k)/color(red)3=(-3)/color(red)(3)`
`k = 1`