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Rewrite in simplest terms: \( 8(5 k+7)-10(6 k-7) \)

Ask by Morgan Carter. in the United States
Jan 24,2025

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The simplified expression is \( -20k + 126 \).

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Mind Expander

First, let's distribute the numbers outside the parentheses: \( 8(5k + 7) \) becomes \( 40k + 56 \) and \( -10(6k - 7) \) becomes \( -60k + 70 \). Now, we can combine everything together: \( 40k + 56 - 60k + 70 \). Next, combine like terms: Combine the \( k \) terms: \( 40k - 60k = -20k \) Combine the constant terms: \( 56 + 70 = 126 \). Putting it all together, we have: \(-20k + 126\). So, the simplest form is: \(-20k + 126\).

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