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The sum of two integers is 43. If one of...

The sum of two integers is 43. If one of them is `-27`, find the other.

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To solve the problem step by step, follow these instructions: ### Step 1: Set up the equation We know that the sum of two integers is 43. Let's denote the two integers as \( x \) and \( y \). According to the problem, we can write the equation: \[ x + y = 43 \] ### Step 2: Substitute the known value We are given that one of the integers is \( -27 \). We can substitute \( x \) with \( -27 \) in the equation: \[ -27 + y = 43 \] ### Step 3: Isolate \( y \) To find \( y \), we need to isolate it on one side of the equation. We can do this by adding \( 27 \) to both sides of the equation: \[ y = 43 + 27 \] ### Step 4: Calculate the value of \( y \) Now, we perform the addition: \[ y = 70 \] ### Conclusion The other integer is \( 70 \).
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