To simplify the expression [tex]\(4 + (-3) - 2 \times (-6)\)[/tex], follow these steps:
1. Perform the multiplication first: According to the order of operations (PEMDAS/BODMAS), start by handling multiplication before addition and subtraction.
[tex]\[
2 \times (-6) = -12
\][/tex]
2. Simplify the expression: Substitute the result of the multiplication back into the expression.
[tex]\[
4 + (-3) - (-12)
\][/tex]
3. Handle the subtraction of a negative number: Subtracting a negative number is the same as adding the positive of that number.
[tex]\[
4 + (-3) + 12
\][/tex]
4. Combine the remaining operations:
[tex]\[
4 - 3 + 12
\][/tex]
5. Add and subtract sequentially:
First perform the subtraction:
[tex]\[
4 - 3 = 1
\][/tex]
Then, add the result to 12:
[tex]\[
1 + 12 = 13
\][/tex]
Therefore, the simplified form of the expression [tex]\(4 + (-3) - 2 \times (-6)\)[/tex] is [tex]\(13\)[/tex].
The correct answer is D. 13.
