We are given expression: 1.6(-4.5 - (-10.2) + 4).
We need to apply order of operations to simplify given expression.
First step would be to simplify - (-10.2).
On distributing minus sign, we get +10.2.
1.6(-4.5 - (-10.2) + 4) would become 1.6(-4.5 +10.2 + 4).
Now, we need to add 10.2 and 4, we get 14.2.
1.6(-4.5 +10.2 + 4) would become 1.6 ( -4.5 + 14.2).
Now, -4.5 + 14.2 = 9.7
1.6 ( -4.5 + 14.2) would become 1.6 (9.7)
Now. multiplying 1.6 and 9.7, we get 15.52.
Therefore, correct option is C. 15.52.