Question

which number is equivalent to $(-3 - i) + 4i - (12 + 16i)$?
a $-28i$
b $-9 - 19i$
c $-15 - 13i$
d $-4$

Explanation:

Step1: Remove parentheses

$(-3 - i) + 4i - 12 - 16i$

Step2: Group real and imaginary terms

$(-3 - 12) + (-i + 4i - 16i)$

Step3: Calculate real part

$-3 - 12 = -15$

Step4: Calculate imaginary part

$-i + 4i - 16i = -13i$

Step5: Combine results

$-15 - 13i$

Answer:

C. $-15 - 13i$