Calculate : `(7|2-6|-4|5| + 5)/(-7(2)-2xx2 + 2 + 2)`

Options

A. `- (16)/(18)`
B. `- (14)/(7)`
C. `-(12)/(7)`
D. `-(12)/(18)`

Answer

To solve the expression `(7|2-6|-4|5| + 5)/(-7(2)-2xx2 + 2 + 2)`, we will break it down step by step.

### Step 1: Simplify the absolute values
First, we need to evaluate the absolute values in the numerator:
- `|2 - 6| = |-4| = 4`
- `|-4| = 4`
- `|5| = 5`

Now substituting these values back into the expression:
- The numerator becomes `7 * 4 + 5`.

### Step 2: Calculate the numerator
Now calculate the numerator:
- `7 * 4 = 28`
- `28 + 5 = 33`

So, the numerator is `33`.

### Step 3: Simplify the denominator
Now, let's simplify the denominator:
- The expression is `-7(2) - 2 * 2 + 2 + 2`.
- First, calculate `-7(2) = -14`.
- Then calculate `-2 * 2 = -4`.
- Now substitute these values back into the denominator:
- `-14 - 4 + 2 + 2`.

### Step 4: Calculate the denominator
Now calculate the denominator:
- `-14 - 4 = -18`
- `-18 + 2 = -16`
- `-16 + 2 = -14`

So, the denominator is `-14`.

### Step 5: Divide the numerator by the denominator
Now we can divide the numerator by the denominator:
- `33 / -14`.

### Final Answer
Thus, the final answer is:
\[ \frac{33}{-14} = -\frac{33}{14} \]