Make T the subject of the relation.
P = ((Q(R−T)15)13\left(\frac{Q(R-T)}{15}\right)^{\frac{1}{3}}(15Q(R−T))31
take cube of both sides
P3=Q(R−T)15P^3 = \frac{Q(R-T)}{15}P3=15Q(R−T)
cross multiply
15P3=Q(R−T)15P^3 = Q(R-T)15P3=Q(R−T)
15P3Q\frac{15P^3}{Q}Q15P3 = R - T
T = R - 15P3Q\frac{15P^3}{Q}Q15P3