Question

what is the value of m?
\\(\frac{m}{2} + 9 = 12\\)
\\(\\ \\ \\ - 9\\ \\ \\ \\ - 9\\) \\(\longleftarrow\\) subtract 9 on both sides.
\\(\\ \\ \\ \\ \\ \frac{m}{2} = 3\\)
\\(\\ 2 \cdot \frac{m}{2} = 2 \cdot 3\\) \\(\longleftarrow\\) multiply by 2 on both sides.
\\(\\ \\ \\ \\ \\ m = \square\\)

Explanation:

Step1: Simplify the equation

We have the equation after subtraction: $\frac{m}{2} = 3$. Then we multiply both sides by 2: $2\cdot\frac{m}{2}=2\cdot3$.

Step2: Calculate the result

Simplify the left - hand side: $2\cdot\frac{m}{2}=m$, and the right - hand side: $2\cdot3 = 6$. So $m = 6$.

Answer:

6