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Question
solve the equation $5(p - 2) = 20$. how can you isolate the variable $p$? $5(p - 2) = 20$ $5p - 10 = 20$ $+ 10$ $+ 10$ add 10 on both sides. $5p = 30$? on both sides.
Step1: Analyze the equation after adding 10
After adding 10 to both sides, we have \(5p = 30\). To isolate \(p\), we need to reverse the multiplication of \(p\) by 5.
Step2: Determine the operation
The inverse operation of multiplication by 5 is division by 5. So we divide both sides by 5.
Step3: Perform the operation
Dividing both sides of \(5p = 30\) by 5: \(\frac{5p}{5}=\frac{30}{5}\), which simplifies to \(p = 6\). The operation is "Divide" by "5" on both sides.
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Divide, 5