Given the equation below:
[tex]a-(10-a)=30[/tex]Using distributive to simplify as shown below:
[tex]\begin{gathered} a+(-1)(10-a)=30 \\ a+(-1\times10)+(-1\times-a)=30 \\ a+(-10)+(+a)=30 \end{gathered}[/tex][tex]a-10+a=30[/tex]Collect like terms
[tex]\begin{gathered} a+a=30+10 \\ 2a=40 \end{gathered}[/tex]Divide through by 2
[tex]\begin{gathered} \frac{2a}{2}=\frac{40}{2} \\ a=20 \end{gathered}[/tex]Hence, the value of a is 20
