Question

Solve the equation.a - (10 - a) = 30Hint:Rewrite a - (10 - a) asa + -1(10-a)and then use the Distributive Property to simplify.

Answer 1

Given the equation below:

`a-(10-a)=30`

Using distributive to simplify as shown below:

`\begin{gathered} a+(-1)(10-a)=30 \\ a+(-1*10)+(-1*-a)=30 \\ a+(-10)+(+a)=30 \end{gathered}`
`a-10+a=30`

Collect like terms

`\begin{gathered} a+a=30+10 \\ 2a=40 \end{gathered}`

Divide through by 2

`\begin{gathered} (2a)/(2)=(40)/(2) \\ a=20 \end{gathered}`

Hence, the value of a is 20