MHB Simplify thisIs My Expression Simplification Correct?

[tmt1]

My textbook has the expression

$$\frac{4}{9} + 2 - 44 = C(\frac{11}{3})(\frac{17}{3})$$

and it simplifies it to $C = -2$

But I am getting

$$(\frac{4}{9} + 2 - 44) * 3 = C187$$

which simplifies to

$$(\frac{12}{9} + 6 - 132) = C187$$

and

$$(\frac{12}{9} - 126) = C187$$

then,

$$(\frac{4}{3} - \frac {378} { 3}) = C187$$$$( - \frac {374} { 3}) = C187$$

then

$$( - \frac {374} { 561}) = C$$

Am I wrong?

 

[MarkFL]

In your first step, where you multiplied through by 3...you need to multiply through by 9 in order to clear both of those denominators on the right side. :)

 

[Wilmer]

$$\frac{4}{9} + 2 - 44 = C(\frac{11}{3})(\frac{17}{3})$$

Hints (more like suggestions):
Start with obvious:
4/9 - 42 = 187C / 9 ; multiply by 9:
4 - 378 = 187C