Certainly! Let's carefully solve the equation step by step:
We start with the equation:
[tex]\[
-\frac{m}{3} = -4
\][/tex]
Step 1: Eliminate the fraction
To eliminate the fraction, multiply both sides of the equation by 3. This will cancel the denominator on the left side. So we have:
[tex]\[
3 \cdot \left(-\frac{m}{3}\right) = 3 \cdot (-4)
\][/tex]
Simplifying both sides gives:
[tex]\[
-m = -12
\][/tex]
Step 2: Solve for [tex]\( m \)[/tex]
Now, we need to isolate [tex]\( m \)[/tex]. The equation currently has [tex]\( -m \)[/tex]. To solve for [tex]\( m \)[/tex], multiply both sides of the equation by -1:
[tex]\[
-m \cdot (-1) = -12 \cdot (-1)
\][/tex]
This simplifies to:
[tex]\[
m = 12
\][/tex]
So, the value of [tex]\( m \)[/tex] is:
[tex]\[
m = 12
\][/tex]
