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Use the distributive property to write an equivalent expression. \[ 7(7 r+4 s-5) \] Answer Attempt 1 out of 2 Submit Answer

Ask by Bartlett Dunn. in the United States
Mar 14,2025

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Use the distributive property to write the equivalent expression: \[ 49r + 28s - 35 \]

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When applying the distributive property, we multiply each term inside the parentheses by 7. So for \( 7(7r + 4s - 5) \), we have: \[ 7 \times 7r + 7 \times 4s + 7 \times (-5) = 49r + 28s - 35. \] This results in the new expression \( 49r + 28s - 35 \). Now, it’s important to remember that keeping track of the signs during distribution is crucial. A common mistake is forgetting to apply the negative sign properly, especially with terms like \(-5\). Always double-check each term as you go along to avoid those pesky sign errors!

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