Final answer:
To simplify the given expression, distribute and combine like terms, and simplify further. The resulting expression is -29 + i, in the form a + bi.
Step-by-step explanation:
To perform the indicated operation, we start by simplifying the expression:
2(i - 14) - i(i+1)
Distribute 2 to (i - 14): 2i - 28 - i(i+1)
Distribute -i to (i+1): 2i - 28 - i^2 - i
Combine like terms: i^2 - i + 2i - 28
Simplify further: i^2 + i - 28
Since i^2 equals -1, we have: -1 + i - 28
Combine like terms: -29 + i
The result is -29 + i, which is in the form a + bi.