Translate the following into an equation: The product of a number and - 3 increased by 4 is 12

If you would like to transform the following phrase into an equation, you can do it like this:

the product of a number and - 3 increased by 4 is 12

a number ... n

the product of a number and - 3 ... n * (-3)

increased by 4 ... + 4

is 12 ... = 12

Now you just have to put this together: n * (-3) + 4 = 12

If you want to solve the equation, you can do it like this:

n * (-3) + 4 = 12

-3 * n = 12 - 4

-3 * n = 8

n = 8 / (-3)

n = - 8/3 = - 2 2/3