Is the work shown below correct? Explain your answer.
(11 + 2i ) - (3 - 10i)
= 11 + 2i - 3 - 10i
= (11 - 3) + (2i - 10i)
= 8-8i
I

No, the work shown above is not correct. The mistake happened in step #2.

Question:
(11+2i)-(3-10i)

Distribute the negative:
(11+2i)-3+10i

Bring it down:
11+2i-3+10i

Add like terms:
2i+10i=12i
11-3=8

Combine:
12i+8

^This is the correct answer
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If you are trying to find the value of the variable i then:

Problem:
12i+8

Bring to the other side:
12i=-8

Isolate the variable:
i=-8/12

Simplify:
i=-2/3