The sum of three consecutive even integers is –78. what are the integers? describe how you would use the strategy of writing an equation to solve the given problem.

The three consecutive even integers are: 2n, (2n+2) and (2n+4).
we can suggest this equation for solve this problem:

2n+(2n+2)+(2n+4)=-78

2n+2n+2n=-78-2-4
6n=-84
n=-84/6
n=-14

The three consecutive even integers are:
2n=2(-14)=-28
2n+2=2(-14)+2=-26
2n+4=2(-14)+4=-24

we check it out:
-28-26-24=-78

the equation will be : 2n+(2n+2)+(2n+4)=-78 and the three consecutive even integers are -28, -26 and -24.