Tap the blue circles to see an explanation.
$$ \begin{aligned}7+i-(-9+i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7+i+9-i \xlongequal{ } \\[1 em] & \xlongequal{ }7+ \cancel{i}+9 -\cancel{i} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}16\end{aligned} $$ | |
① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -9+i \right) = 9-i $$ |
② | Combine like terms: $$ \color{blue}{7} + \, \color{red}{ \cancel{i}} \,+ \color{blue}{9} \, \color{red}{ -\cancel{i}} \, = \color{blue}{16} $$ |