Question

simplify.
-(-6 + i) + (5 - 5i)
write your answer in the form a + bi.

Explanation:

Step1: Distribute the negative sign

First, we handle the \(-(-6 + i)\) term. Distributing the negative sign gives \(6 - i\).

Step2: Combine with the second complex number

Now we add \((5 - 5i)\) to the result from Step 1. So we have \((6 - i)+(5 - 5i)\).

Step3: Combine like terms

For the real parts: \(6 + 5 = 11\). For the imaginary parts: \(-i- 5i=-6i\).

Answer:

\(11 - 6i\)