# Satisfactory reals

Algebra Level pending

The sum of all real numbers $$t$$ such that $$(3^t-9)^3$$+$$(9^t-3)^3$$=$$(9^t+3^t-12)^3$$ can be represented in the form $$\frac{a}{b}$$ where $$a$$ and $$b$$ are coprime positive integers. Find $$a+b$$.

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