`{20-(25-33)"-:)(-5xx4-(-6)}+56-:(-27+13)=?`

Options

A. `-4`
B. `-2`
C. 4
D. `-6`

Answer

To solve the expression `{20 - (25 - 33) - (-5 * 4 - (-6))} + 56 - : (-27 + 13)`, we will follow the BODMAS rule (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-step Solution:

1. **Simplify the innermost brackets**:
- Start with the expression inside the first set of parentheses:
\[ 25 - 33 = -8 \]
- Now, substitute this back into the expression:
\[ {20 - (-8) - (-5 * 4 - (-6))} \]

2. **Calculate the multiplication and subtraction in the second part**:
- Calculate \(-5 * 4\):
\[ -5 * 4 = -20 \]
- Now substitute this back into the expression:
\[ -20 - (-6) = -20 + 6 = -14 \]
- Substitute this back into the expression:
\[ {20 - (-8) - (-14)} \]

3. **Now simplify the curly bracket**:
- Substitute \(-8\) and \(-14\):
\[ 20 + 8 + 14 = 20 + 8 + 14 = 42 \]

4. **Now, simplify the second part of the expression**:
- Calculate the expression \(-27 + 13\):
\[ -27 + 13 = -14 \]
- Substitute this back into the expression:
\[ 42 + 56 - : (-14) \]

5. **Now, divide 56 by -14**:
- Calculate:
\[ 56 / -14 = -4 \]

6. **Finally, add the results**:
- Combine:
\[ 42 - 4 = 38 \]

Thus, the final answer is:
\[ \boxed{38} \]