the sum of six times a number and 3 equal -15 added to the product of 3 and the number

Question

how do you solve this problem

Answer 1

n represents the number

 

6(n + 3) = -15 + 3n            distribute

6n + 18 = -15 + 3n             subtract 3n from both sides

3n + 18 = -15                     subtract 18 from both sides

3n = -33                            divide both sides by 3

n = -11

 

Check:

 

6(-11 + 3) = -15 + 3(-11)

6(-8) = -15 - 33

-48 = -48