Questions: 20 - 2p > -2(p + 2) + 4p

20 - 2p > -2(p + 2) + 4p
Transcript text: $20-2 p>-2(p+2)+4 p$
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Solution

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Solution Steps

Step 1: Distribute

Distribute -2 to the terms inside the parentheses: $20 - 2p > -2p - 4 + 4p$

Step 2: Combine like terms

Combine the terms with 'p' on the right side of the inequality: $20 - 2p > 2p - 4$

Step 3: Isolate the variable

Add 2p to both sides: $20 > 4p - 4$

Add 4 to both sides: $24 > 4p$

Step 4: Solve for p

Divide both sides by 4: $6 > p$

This can also be written as: $p < 6$

Final Answer

$p < 6$

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