The product of 4, and a number increased by 8, is -48

4n + 8 = -48

n = -14

Step-by-step explanation:

Using key words from the problem, you can set up an equation with the proper operations to solve for the variable.  Product = multiplication, so the 'product of 4 and a number' = 4n.  Increased = addition, so increased by 8 = 4n + 8.  The word 'is' means equal to, so:

4n + 8  = -48

In order to solve for 'n', you use inverse (opposite) operations and whatever you do to one side of the equation, you do to the other:

Subtract 8:  4n + 8 - 8 = -48 - 8 or 4n = -56

Divide 4:  4n/4 = -56/4

Solve for 'n':  n = -14

45

step-by-step explanation: