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The difference of an integer a and (-6) ...

The difference of an integer a and (-6) is 4. Find the value of a.

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To solve the problem step by step, we start with the information given in the question. ### Step 1: Write the equation based on the problem statement. The problem states that the difference of an integer \( a \) and \(-6\) is \( 4 \). This can be expressed mathematically as: \[ a - (-6) = 4 \] ### Step 2: Simplify the expression. When we subtract a negative number, it is equivalent to adding the positive version of that number. Therefore, we can simplify the equation: \[ a + 6 = 4 \] ### Step 3: Isolate \( a \). To find the value of \( a \), we need to isolate it on one side of the equation. We do this by subtracting \( 6 \) from both sides: \[ a + 6 - 6 = 4 - 6 \] This simplifies to: \[ a = -2 \] ### Final Answer: Thus, the value of \( a \) is: \[ \boxed{-2} \] ---
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