Obtaining an algebraic Equation for T

Question

(0.300)(4190J/(kg*K)(T-70.0*C) +
(0.100)(390J)/(kg*K)(T-20.0*C)

I don't know how to use the Algebraic Equation on that?

Answer 1

suppressing all those units, we have

(.300)(4190)(T-70) + (.100)(390)(T-20)
= 1257T - 87990 + 39T-780
= 1296T - 88770

You can do with that what you will