Simplify: {-13 - (-27)} + {-25 - (-40)}.

Options

A. 27
B. 29
C. 31
D. 25

Answer

To simplify the expression \({-13 - (-27)} + {-25 - (-40)}\), we will follow these steps:

### Step 1: Open the inner brackets
We start by simplifying the expressions inside the brackets. The expression has two parts: \(-13 - (-27)\) and \(-25 - (-40)\).

1. For the first part:
\[ -13 - (-27) = -13 + 27 \]
(Since subtracting a negative number is the same as adding the positive of that number.)

2. For the second part:
\[ -25 - (-40) = -25 + 40 \]

### Step 2: Simplify each part
Now we will simplify each part:

1. Simplifying the first part:
\[ -13 + 27 = 14 \]

2. Simplifying the second part:
\[ -25 + 40 = 15 \]

### Step 3: Combine the results
Now we will add the results from both parts:
\[ 14 + 15 = 29 \]

### Final Answer
Thus, the simplified expression is:
\[ \boxed{29} \]

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