Question

How do you solve for 2-9|-8b+8|=-70?

Answer 1

The solution for the given equation is 0 and 2.

Explanation:

Given equation:

`2-9|-8b+8|=-70`

To solve for
`b`.

Solution:

In order to solve the given equation, we will first isolate the absolute value expression:

Step 1: Isolating the absolute value expression

`2-9|-8b+8|=-70`

Subtracting both sides by 2.

`2-2-9|-8b+8|=-70-2`

`-9|-8b+8|=-72`

Dividing both sides by -9.

`(-9|-8b+8|)/(-9)=(-72)/(-9)`

`|-8b+8|=8`

Step 2: Set the value of the absolute value expression to positive and negative.

`-8b+8=8` and
`-8b+8=-8`

Step 3: Solve for the unknown.

Solving for
`b`.

Subtracting both sides by 8.

`-8b+8-8=8-8` and
`-8b+8-8=-8-8`

`-8b=0` and
`-8b=-16`

Dividing both sides by -8.

`(-8b)/(-8)=(0)/(-8)` and
`(-8b)/(-8)=(-16)/(-8)`

`b=0` and
`b=2` (Answer)

Thus, the solution for the given equation is 0 and 2.