maぜるzerumaぜるzeru
1.

To combine disparate elements or substances together, incorporating one into another to create a unified mixture, such as adding different types of grains together or blending various ingredients in cooking.

2.

To thoroughly integrate or agitate components within a medium, ensuring an even distribution and uniform consistency, like stirring eggs until well-combined.

3.

To introduce one's thoughts or comments into a conversation or situation, often in a manner that disrupts the flow or adds unnecessary complexity.

Example:

水を加え、練り粉がどろどろしない程度に混ぜなさい。

かきkakimaぜるzeru
1.

To combine ingredients or substances by moving them with a tool or by hand, creating a uniform mixture.

2.

To agitate or move contents in a container, often to achieve a specific consistency or to incorporate air.

3.

To rearrange or change the order of elements within a mixture, resulting in a thorough blending of various components.

4.

To energetically move liquids or semi-solids, often resulting in a swirling motion that integrates different parts together.

Example:

彼女はスプーンを使ってスープをかき混ぜた。

torimaぜるzeru
1.

To combine various elements or people into a single group or mixture, often resulting in a diverse or eclectic assortment.

2.

To blend different substances or components together, creating a uniform or integrated combination.

3.

To assemble or integrate items of differing characteristics or origins, resulting in an amalgamated entity.