Answer
$$7+9+27i-2\cdot(25-11i)=49i-34$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7+9+27i-2\cdot(25-11i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}27i+16-2\cdot(25-11i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}27i+16-(50-22i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}27i+16-50+22i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}49i-34\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{7} + \color{blue}{9} +27i = 27i+ \color{blue}{16} $$ |
| ② | Multiply $ \color{blue}{2} $ by $ \left( 25-11i\right) $ $$ \color{blue}{2} \cdot \left( 25-11i\right) = 50-22i $$ |
| ③ | Remove the parentheses by changing the sign of each term within them. $$ - \left( 50-22i \right) = -50+22i $$ |
| ④ | Combine like terms: $$ \color{blue}{27i} + \color{red}{16} \color{red}{-50} + \color{blue}{22i} = \color{blue}{49i} \color{red}{-34} $$ |
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