Final answer:
The absolute value equation provided does not have a solution because the absolute value expression cannot be negative.
Step-by-step explanation:
The student has presented an absolute value equation and has asked for the largest solution, rounded to the nearest hundredth. There seem to be multiple notations combined here, so let's clarify and solve the correct equation: -2|3x + 9| = -7. First, we recognize that the absolute value expression must be negative, which is impossible since absolute values are always non-negative. This means the equation has no solution.