Let's solve the expression step by step:

Given expression:  
\[
\left( (9 - (-6)) \div (-5) + 5 \right) - 16
\]

### Step 1: Simplify inside the parentheses
- \( 9 - (-6) = 9 + 6 = 15 \)

Now the expression becomes:
\[
\left( 15 \div (-5) + 5 \right) - 16
\]

### Step 2: Perform the division
- \( 15 \div (-5) = -3 \)

Now the expression becomes:
\[
\left( -3 + 5 \right) - 16
\]

### Step 3: Add inside the parentheses
- \( -3 + 5 = 2 \)

Now the expression becomes:
\[
2 - 16
\]

### Step 4: Perform the subtraction
- \( 2 - 16 = -14 \)

So, the value of the expression is:
\[
\boxed{-14}
\]

Would you like further clarification or details on any of the steps?

Here are some related questions for practice:
1. Simplify: \( [(12 + (-8)) ÷ 4] - 7 \)
2. What is \( [(7 - (-3)) ÷ (-4)] + 6 \)?
3. Solve: \( [(10 ÷ (-2)) + 4] - 3 \)
4. Simplify: \( [(18 - 12) ÷ (-3)] + 2 \)
5. What is \( [(5 + (-2)) ÷ (-1)] + 9 \)?

**Tip:** Always follow the order of operations: parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right).

Learn how to solve the arithmetic expression [(9 - (-6)) ÷ (-5) + 5] – 16 step by step. This problem demonstrates core mathematical concepts such as handling negative numbers and following the order of operations (PEMDAS/BODMAS). Ideal for students in Grades 6-8.

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