Addition is commutative: a + b = b + a, so we can solve it like this:
7 + -0 + -9 + -9 + -5 + 7 =
= 7 + 7 + -5 + -9 + -9 =
= 14 + -5 + -9 + -9 =
= 9 + - 9 + -9 =
= -9
Or in similar way which makes it easier.
We can also count as it is, from left to right:
7 + -0 + -9 + -9 + -5 + 7 =
= 7 + -9 + -9 + -5 + 7 =
= -2 + -9 + -5 + 7 =
= -11 + -5 + 7 =
= -16 + 7 =
= -9