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.