Solve each of the following problems by performig the indicated operations in the proper order.
Q. `10-(9-8-6)`=____.

Answer

To solve the expression \( 10 - (9 - 8 - 6) \), we will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### Step-by-Step Solution:

1. **Evaluate the expression inside the parentheses**:
\[ 9 - 8 - 6 \]
- First, we calculate \( 9 - 8 \):
\[ 9 - 8 = 1 \]
- Next, we take the result and subtract 6:
\[ 1 - 6 = -5 \]
- So, \( 9 - 8 - 6 = -5 \).

2. **Substitute back into the original expression**:
\[ 10 - (9 - 8 - 6) = 10 - (-5) \]

3. **Simplify the expression**:
- Subtracting a negative number is the same as adding the positive:
\[ 10 - (-5) = 10 + 5 \]
- Now, perform the addition:
\[ 10 + 5 = 15 \]

### Final Answer:
\[ 10 - (9 - 8 - 6) = 15 \]