Evaluate:
`[23+(7-11)]+[(11-5)-(16+6)]`

Answer

To evaluate the expression `[23 + (7 - 11)] + [(11 - 5) - (16 + 6)]`, we will follow these steps:

### Step 1: Simplify the expressions inside the brackets
1. **Evaluate the first bracket:**
- \( 7 - 11 = -4 \)
- So, the expression becomes: \( 23 + (-4) \)

2. **Evaluate the second bracket:**
- First, calculate \( 11 - 5 = 6 \)
- Then, calculate \( 16 + 6 = 22 \)
- Now, substitute these values into the second bracket: \( 6 - 22 \)

### Step 2: Substitute back into the expression
Now, we have:
\[ [23 + (-4)] + [6 - 22] \]

### Step 3: Simplify each part
1. **Simplify the first part:**
- \( 23 + (-4) = 23 - 4 = 19 \)

2. **Simplify the second part:**
- \( 6 - 22 = -16 \)

### Step 4: Combine the results
Now, we combine the results from the two parts:
\[ 19 + (-16) = 19 - 16 = 3 \]

### Final Answer
The final answer is \( 3 \).

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