Answer :

Certainly! Let's go through the problem step-by-step in a clear and detailed manner.

You are given the equation:
[tex]\[ 2a = 80 \][/tex]

To find the value of [tex]\( a \)[/tex], we need to isolate [tex]\( a \)[/tex] on one side of the equation. Here are the steps to do that:

1. We start with the equation [tex]\( 2a = 80 \)[/tex].

2. To isolate [tex]\( a \)[/tex], we need to divide both sides of the equation by 2. This is because [tex]\( a \)[/tex] is currently multiplied by 2, and division is the inverse operation of multiplication.

3. Dividing both sides by 2:
[tex]\[ \frac{2a}{2} = \frac{80}{2} \][/tex]

4. Simplifying both sides:
[tex]\[ a = 40 \][/tex]

So, the value of [tex]\( a \)[/tex] is 40.