Sure, let's solve the equation step-by-step:
Given equation:
[tex]\[ \frac{1}{4} b = -2 \][/tex]
To isolate the variable [tex]\( b \)[/tex], we need to eliminate the fraction. We can do this by multiplying both sides of the equation by 4.
Multiplying both sides by 4:
[tex]\[ 4 \times \frac{1}{4} b = 4 \times (-2) \][/tex]
On the left side, the [tex]\( 4 \)[/tex] and [tex]\( \frac{1}{4} \)[/tex] cancel each other out, leaving:
[tex]\[ b = 4 \times (-2) \][/tex]
On the right side, multiplying 4 by -2 gives:
[tex]\[ b = -8 \][/tex]
So, the correct solution for the equation [tex]\(\frac{1}{4} b = -2 \)[/tex] is:
[tex]\[ b = -8 \][/tex]
