Government
a loose alliance of groups in which each member is working for its own benefit is called a

amalamation
corporation
coalition
special-interest groups

In a government, a 'loose alliance' of groups in which each member is working for its 'own benefit' is called a coalition.

Explanation:

In politics, a coalition of parties is formed when a single political group or party fails to fetch the majority and take the mandate to itself. The seats secured by allied parties are shared to form a coalition in order to establish a stable government. All the parties in the coalition are benefited by the powers that they get to exercise for being a part of the government.

Amath expression is a collection of one or more terms, which are separated by the signs ( + , - , x , / ).example :   8+b8+b  or  a−3a−3in algebra, an equation is a mathematical statement with two expressions where, each expression is separated by an equal (=) sign. variables can be present on both the sides of the equality (=) sign and we use letters to denote such variables.example 1:   x=4+2x=4+2  , [here, we can observe that the variable is present only on one side of the equation].example 2:   2x+3=x+42x+3=x+4  , [here, we can observe that the variables are present on both side of the equation].