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Translate the English statement into a mathematical statement. Then solve the equation. The difference between \( w \) and 27 equals four times w. Translate. \( \square \) (Type an equation.)

Ask by Estrada Beck. in Egypt
Feb 21,2025

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\( w - 27 = 4w \) \( w = -9 \)

Solución

Mathematical translation: w - 27 = 4w Now, solving the equation: w - 27 = 4w Subtract w from both sides: -27 = 3w Divide both sides by 3: w = -9

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The mathematical statement is: \( w - 27 = 4w \). Now, let's solve the equation: 1. Subtract \( w \) from both sides: \(-27 = 4w - w\) 2. This simplifies to: \(-27 = 3w\) 3. Now, divide both sides by 3: \(w = -9\) So, the solution is \( w = -9 \).

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