Answer
$T=299\ K$
Work Step by Step
For this calculation, digits that are not significant numbers will be underlined, and the numbers will
have up to 4 decimal places to avoid rounding off errors:
$102\underline{0.896}(T-296.0)+39.7\underline{365}(T-369.0)=0$
$(102\underline{0.896}+39.7\underline{365}).T=302\underline{185.216} + 146\underline{62.7685}$
$106\underline{0.6325}\times T = 316\underline{847.9845}$
$T = 298.\underline{7349}$
So, rounding the final result: $T=299\ K$
