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16. \( 8-\frac{w}{10}=\frac{3}{5} \)

Ask by Sherman Guerrero. in the United States
Mar 13,2025

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\( w = 74 \)

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To solve the equation \( 8 - \frac{w}{10} = \frac{3}{5} \), start by isolating the term that includes \( w \). Subtract 8 from both sides: \(- \frac{w}{10} = \frac{3}{5} - 8\). To make calculations easier, convert 8 into a fraction with a denominator of 5: \( 8 = \frac{40}{5} \). Thus, \(- \frac{w}{10} = \frac{3}{5} - \frac{40}{5} = \frac{-37}{5}\). Next, multiply both sides by -10 to solve for \( w \): \( w = -10 \times \frac{-37}{5} = 74\). So, \( w = 74 \). Keep in mind this is a linear equation—an essential part of algebra. The simplicity in solving such equations demonstrates the beauty of algebra's logical structure. Remember, practice makes perfect!

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