Answer:
[tex]19 - \frac{6}{5}j[/tex]
written out on a computer keyboard, you would type: 19 - (6/5)j
Step-by-step explanation:
The terms that dont have a 'j' attached to them all group up and combine to this: 18 + (-5) + 6 = 18-5+6 = 13+6 = 19
The rest of the terms have a 'j', and they combine to: [tex]-\frac{2}{5}j - \frac{4}{5}j = \left(-\frac{2}{5} - \frac{4}{5}\right)j = \frac{-2-4}{5}j = -\frac{6}{5}j[/tex]
After combining both sets of like terms, we have 19 as the first result and [tex]-\frac{6}{5}j[/tex] as the second result. They are then added to get [tex]19 + \left(-\frac{6}{5}j\right) = 19 - \frac{6}{5}j[/tex]
We cant simplify any further because there are no like terms left.
