Physics(Please check)

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There is a rod that is split into two sections. The left side is copper with value of 390, temp of 100 degrees c and the length is 2m. The right side is silver, 420, temp 20 degrees celsuis, and length 1m.

I need to calculate the temperature.

390 X 1 X 100-t / 2 = 420 X 1 X t-20 / 1

Is this how I would set it up to solve for the temp?

Thank you.

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