exam Maths Puzzle Numerical Ability

5t^-16t=-12
i have tried everything. please help me. I am so greatful for this site and your time. thank you so much. This is factoring equations.

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Walt made an extra $9000 last year from a part-time job. He invested part of the money at 9% and the rest at 8%. He made a total of $780 in interest. How much was invested at 8%? how do you know when to multiply the exponet?