\text{Simplify:}110-42\times (5+6)-6

The correct option is −358.

To simplify the given mathematical expression, we must follow the order of operations, often remembered using the acronym PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction). Let's write down the expression:
$$110-42\times (5+6)-6$$

Step 1: Simplify the expression inside the parentheses first.
We perform the addition inside the parentheses:
$$5+6=11$$ Now substitute this value back into the expression:
$$110-42\times 11-6$$

Step 2: Perform the multiplication.
Next, we calculate the multiplication of 42 and 11:
$$42\times 11=462$$ Substitute this result back into the expression:
$$110-462-6$$

Step 3: Perform subtraction from left to right.
First, subtract 462 from 110:
$$110-462=-352$$ Now, subtract the remaining 6 from this result:
$$-352-6=-358$$

Thus, the final simplified value of the expression is −358.