The difference of two integers a and b is 105. If a is -66, find b.

Answer

To solve the problem step by step, we need to find the value of \( b \) given that the difference between two integers \( a \) and \( b \) is 105, and \( a \) is -66.

### Step 1: Write the equation for the difference
The difference between two integers \( a \) and \( b \) can be expressed as:
\[ a - b = 105 \]

### Step 2: Substitute the value of \( a \)
We know that \( a = -66 \). Substituting this value into the equation gives:
\[ -66 - b = 105 \]

### Step 3: Isolate \( b \)
To isolate \( b \), we need to move \( -66 \) to the other side of the equation. We can do this by adding 66 to both sides:
\[ -b = 105 + 66 \]

### Step 4: Calculate the right side
Now, we need to add 105 and 66:
\[ 105 + 66 = 171 \]
So, we have:
\[ -b = 171 \]

### Step 5: Solve for \( b \)
To find \( b \), we multiply both sides by -1:
\[ b = -171 \]

### Final Answer
Thus, the value of \( b \) is:
\[ b = -171 \]

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