answer:-9

work:

for this, we are going to use one variable :x this is because if we do something like x,x+1,x+2,x+3 this will simulate consecutive integers.

x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+(X+6)=14(x+6)

Now we add all the x's and the numbers together.

7x+21=14(x+6)

now we multiply on the other side.

7x+21=14x+84

Now we will subtract 21 and 14x from both sides

-7x=63

now we divide both numbers by -7 to get our answer...

x=-9