To solve this equation, we need to follow the next steps:
1. Apply the distributive property:
[tex]b-6\cdot4b+6\cdot2=150\Rightarrow b-24b+12=150[/tex]
2. Add the like terms, and subtract 12 to both sides of the equation:
[tex]-23b+12=150\Rightarrow-23b=150-12[/tex]
3. Divide both sides of the equation by -23 (to isolate b):
[tex]\frac{-23}{-23}b=\frac{150-12}{-23}\Rightarrow b=\frac{138}{-23}\Rightarrow b=-6[/tex]
Then, the answer to this equation is {-6} (option A).
