If the product of 6 and an interger n is increased by 13 the result is - 14 what is the value of n

Here the unknown number is n. Product of 6 and n is 6n. And 6n is increased by 13 that is 6n + 13. And the result is - 14, that is

6n+13=-14

We need to get rid of 13, so we subtract 13 to both sides, that is

6n = - 14-13

6n = -27

Now we need to get rid of 6, and for that we divide both sides by 6, that is

n = - 27/6

And that's the required value of n.