In sickle-cell anemia, the mutation that substitutes glutamate with valine in the hemoglobin beta gene primarily affects the protein's quaternary structure rather than significantly altering its secondary or tertiary structures. While the primary structure changes, these do not always lead to changes in higher-level structures. The hydrophobic nature of valine contributes to the aggregation of hemoglobin molecules, leading to the sickle shape of red blood cells. Although the secondary and tertiary structures remain largely preserved, the mutation creates a favorable interaction between hemoglobin molecules, facilitating their clumping. This aggregation is a form of higher-order structure, but it does not imply substantial alterations at the secondary or tertiary levels.