Sure, let's solve the given expression step-by-step:
[tex]\[ (-12) + (-9) \times 6 \div (-2) \][/tex]
### Step 1: Perform the multiplication
First, we need to compute the multiplication part in the expression.
[tex]\[ (-9) \times 6 \][/tex]
Multiplying -9 by 6, we get:
[tex]\[ -9 \times 6 = -54 \][/tex]
### Step 2: Perform the division
Next, we need to divide the result of the multiplication by -2.
[tex]\[ -54 \div (-2) \][/tex]
Dividing -54 by -2, we get:
[tex]\[ -54 \div -2 = 27.0 \][/tex]
### Step 3: Perform the addition
Finally, we add the result of the division to -12.
[tex]\[ -12 + 27.0 \][/tex]
Adding -12 to 27.0, we get:
[tex]\[ -12 + 27.0 = 15.0 \][/tex]
So, the final result is 15.0.
Thus, the answer is:
[tex]\[ \boxed{15} \][/tex]
