An acid gas removal plant (100) includes an absorber (110) that provides a rich solvent (106) to two regenerators (120, 130) that independently generate a lean (122) and a semi-lean solvent (132), wherein the semi-lean solvent (132) is produced in one (130) of the regenerators using heat (140) and/or steam (276) derived from the other regenerator (120). Further heat integration is particularly contemplated with power plants in which the power plant provides high-level heat to the acid gas removal plant and wherein the power plant receives low-level heat from the acid gas removal plant.