[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Solving for your equation:}[/tex]
[tex]\mathbf{|4x^2| - 3x - (9 - |-3x|)}[/tex]
[tex]\mathbf{= |(4)(9)|-(2)(-3)-(9-|(-3)(-3)|)}[/tex]
[tex]\mathsf{= |36| - (2)(-3)- (9 - |(-3)(-3)|)}[/tex]
[tex]\mathbf{=36 - (2)(-3) - (9 - |(-3)(-3)|)}[/tex]
[tex]\mathbf{= 36 -(-6) - (9 - |(-3)(-3)|)}[/tex]
[tex]\mathbf{= 42 - (9 - |(-3)(-3)|)}[/tex]
[tex]\mathbf{= 42 - (9 - |9|)}[/tex]
[tex]\mathbf{= 42 - (9 - 9)}[/tex]
[tex]\mathbf{= 42 - (0)}[/tex]
[tex]\mathbf{= 42 - 0}[/tex]
[tex]\mathbf{= 42}[/tex]
[tex]\huge\textbf{Notice that your equation kept getting}\\\huge\textbf{getting smaller and smaller?}\\\\\\\huge\textbf{That's because we kept solving as we got}\\\huge\textbf{closer to your result and we got there}\\\huge\textbf{sooner than we thought :)}[/tex]
[tex]\huge\textsf{ANYWAY!}[/tex]
[tex]\huge\textsf{Therefore, the answer is: \boxed{\mathsf{Option\ D. 42}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
