Certainly! Let's solve the equation [tex]\(18 = \frac{a}{2}\)[/tex] step-by-step.
We start with the given equation:
[tex]\[ 18 = \frac{a}{2} \][/tex]
Our goal is to solve for the variable [tex]\(a\)[/tex]. To do this, we need to isolate [tex]\(a\)[/tex] on one side of the equation. Currently, [tex]\(a\)[/tex] is divided by 2. To isolate [tex]\(a\)[/tex], we need to eliminate the division by 2. We do this by performing the inverse operation, which is multiplication. Specifically, we will multiply both sides of the equation by 2.
Multiplying both sides by 2:
[tex]\[ 18 \times 2 = \left(\frac{a}{2}\right) \times 2 \][/tex]
On the right-hand side, the 2s cancel each other out:
[tex]\[ 18 \times 2 = a \][/tex]
Now, perform the multiplication on the left-hand side:
[tex]\[ 36 = a \][/tex]
This simplifies to:
[tex]\[ a = 36 \][/tex]
Therefore, the solution to the equation [tex]\(18 = \frac{a}{2}\)[/tex] is:
[tex]\[ a = 36 \][/tex]
