Question
36. \( 2(5-3 r)=-4 r-16 \)
Ask by Love Riley. in Greece
Jan 16,2025
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Tutor-Verified Answer
Answer
\( r = 13 \)
Solution
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Beyond the Answer
To solve the equation \( 2(5 - 3r) = -4r - 16 \), first distribute the \( 2 \) on the left side: \( 10 - 6r = -4r - 16 \). Next, isolate the variable \( r \) by adding \( 6r \) to both sides: \( 10 = 2r - 16 \). Now, add \( 16 \) to both sides: \( 26 = 2r \). Finally, divide by \( 2 \): \( r = 13 \). So the solution is \( r = 13 \).