please help! i need to study this problem for a final. Ive looked at other solutions and they just dont make sense. i need each step broken down and explained along with the calculations, formulas, an tables. everything needs to be explained throughly

$6-126$ Consider a Carnot refrigeration cycle executed in a closed system in the saturated liquidvapor mixture region using $0\mathrm{.}96$ kg of refrigerant$134a$ as the working fluid. It is known that the maximum absolute temperature in the cycle is $1\mathrm{.}2$ times the minimum absolute temperature, and the net work input to the cycle is $22$ kJ $.$ If the refrigerant changes from saturated vapor to saturated liquid during the heat rejection process, determine the minimum pressure in the cycle. Answer: $356$ kPa