Let's solve the arithmetic expression step by step:
The given expression is: [tex]\((-6) \div 2 - 3 \times (-4)\)[/tex].
Step 1: Division
First, we perform the division part of the expression:
[tex]\[
(-6) \div 2
\][/tex]
Dividing [tex]\(-6\)[/tex] by [tex]\(2\)[/tex] results in:
[tex]\[
-3
\][/tex]
So, we have [tex]\((-6) \div 2 = -3\)[/tex].
Step 2: Multiplication
Next, we perform the multiplication part of the expression:
[tex]\[
-3 \times (-4)
\][/tex]
Multiplication of [tex]\(-3\)[/tex] by [tex]\(-4\)[/tex] results in:
[tex]\[
12
\][/tex]
So, we have [tex]\(-3 \times (-4) = 12\)[/tex].
Step 3: Subtraction
Finally, we subtract the result of the multiplication from the result of the division:
[tex]\[
-3 - 12
\][/tex]
Subtracting [tex]\(12\)[/tex] from [tex]\(-3\)[/tex] results in:
[tex]\[
-15
\][/tex]
So, the final result of the expression [tex]\((-6) \div 2 - 3 \times (-4)\)[/tex] is:
[tex]\[
\boxed{-15}
\][/tex]
