Let's solve the given equation step-by-step:
The equation given is:
[tex]\[ -12a = 72 \][/tex]
We need to isolate [tex]\( a \)[/tex]. To do so, we can divide both sides of the equation by [tex]\(-12\)[/tex]:
[tex]\[ a = \frac{72}{-12} \][/tex]
Next, we perform the division on the right-hand side:
[tex]\[ a = -6 \][/tex]
Thus, the value of [tex]\( a \)[/tex] that satisfies the equation [tex]\(-12a = 72\)[/tex] is:
[tex]\[ \boxed{-6} \][/tex]
Hence, from the given options (84, 6, -6, -60), the correct answer is [tex]\(-6\)[/tex].
