Certainly! Let's solve the given equation step-by-step to find the value of [tex]\( m - 2n \)[/tex].
The given equation is:
[tex]\[
-3(m - 2n - 4) = -9
\][/tex]
Firstly, let's simplify this equation by distributing the [tex]\(-3\)[/tex] on the left side:
[tex]\[
-3(m - 2n - 4) = -3m + 6n + 12
\][/tex]
So, the equation now is:
[tex]\[
-3m + 6n + 12 = -9
\][/tex]
Next, let's isolate the term involving [tex]\(m\)[/tex] and [tex]\(n\)[/tex] by moving the constant term to the right side of the equation:
[tex]\[
-3m + 6n + 12 = -9
\][/tex]
[tex]\[
-3m + 6n = -9 - 12
\][/tex]
[tex]\[
-3m + 6n = -21
\][/tex]
Now, let's divide every term in the equation by [tex]\(-3\)[/tex] to further simplify:
[tex]\[
m - 2n = 7
\][/tex]
Thus, the value of [tex]\( m - 2n \)[/tex] is:
[tex]\[
\boxed{7}
\][/tex]
