Answer:
The solution for the given equation is 0 and 2.
Step-by-step explanation:
Given equation:
[tex]2-9|-8b+8|=-70[/tex]
To solve for [tex]b[/tex].
Solution:
In order to solve the given equation, we will first isolate the absolute value expression:
Step 1: Isolating the absolute value expression
[tex]2-9|-8b+8|=-70[/tex]
Subtracting both sides by 2.
[tex]2-2-9|-8b+8|=-70-2[/tex]
[tex]-9|-8b+8|=-72[/tex]
Dividing both sides by -9.
[tex]\frac{-9|-8b+8|}{-9}=\frac{-72}{-9}[/tex]
[tex]|-8b+8|=8[/tex]
Step 2: Set the value of the absolute value expression to positive and negative.
[tex]-8b+8=8[/tex] and [tex]-8b+8=-8[/tex]
Step 3: Solve for the unknown.
Solving for [tex]b[/tex].
Subtracting both sides by 8.
[tex]-8b+8-8=8-8[/tex] and [tex]-8b+8-8=-8-8[/tex]
[tex]-8b=0[/tex] and [tex]-8b=-16[/tex]
Dividing both sides by -8.
[tex]\frac{-8b}{-8}=\frac{0}{-8}[/tex] and [tex]\frac{-8b}{-8}=\frac{-16}{-8}[/tex]
[tex]b=0[/tex] and [tex]b=2[/tex] (Answer)
Thus, the solution for the given equation is 0 and 2.
