The temperature, \( T \), in degrees Celsius of a chemical solution over time, \( t \), in minutes is given by the equation \( T = |2t - 10| + 5 \). A second chemical solution has a temperature that changes linearly over time according to the equation \( T = -3t + 35 \). Determine the time(s) at which the two solutions have the same temperature. Let's think step by step and output the final answer within \boxed{}.
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