Questions: Solve the equation and check. n = +14 = -5

Solve the equation and check.
n = +14 = -5
Transcript text: Solve the equation and check. \[ n=\square+14=-5 \]
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Solution

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Solution Steps

To solve the equation \( n = \square + 14 = -5 \), we need to find the value of the square (let's call it \( x \)) that satisfies the equation. We can do this by isolating \( x \) on one side of the equation. Once we find \( x \), we can check our solution by substituting it back into the original equation to ensure it holds true.

Step 1: Set Up the Equation

We start with the equation given in the problem: \[ n = \square + 14 = -5 \] This can be rewritten as: \[ \square + 14 = -5 \]

Step 2: Isolate the Variable

To find the value of \( \square \), we isolate it by subtracting 14 from both sides: \[ \square = -5 - 14 \] This simplifies to: \[ \square = -19 \]

Step 3: Verify the Solution

We check our solution by substituting \( \square = -19 \) back into the original equation: \[ n = -19 + 14 \] Calculating this gives: \[ n = -5 \] Since this matches the original value of \( n \), our solution is verified.

Final Answer

\[ \boxed{\square = -19} \]

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