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

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asked Apr 11, 2023 217k views

1 Answer

MueR · Answer 1 · 2023-04-17T06:15:17+0000

Given the equation below:

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