How do you solve $abs(p+3)=9.5$ ?

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Answer 1 · 2015-08-01T13:53:44

$p = 6.5$ or $p=-12.5$

$|p + 3| = 9.5$

This equation can produce 2 values for $p$ , depending on which condition is true

$|p+3| = -(p+3) = -p - 3 = 9.5$

This will get you

$p = - 3 - 9.5 = color(green)(-12.5)$

$|p+3| = p+3 = 9.5$

This time,

$p = 9.5 - 3 = color(green)(6.5)$

How do you solve abs(p+3)=9.5abs(p+3)=9.5?