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Question
Solve the following equation for the unknown: `(1)/(2)"p" + (3)/(4)"p"` = p - 3
Sum
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Solution
`(1)/(2)"p" + (3)/(4)"p"` = p - 3
⇒ `(1)/(2)"p" + (3)/(4)"p"` - p = - 3
⇒ `"p"/(2) + (3"p")/(4) - "p"` = -3
⇒ `(2"p" + 3"p" - 4"p")/(4)` = -3
⇒ `"p"/(4)` = -3
⇒ p = (-3)(4)
⇒ p = -12.
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