How do you solve $| 7 + p | = 7$ $abs(7+p)=7$ ?

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Answer 1 · 2016-09-19T11:33:15

$p = 0; p = - 14$ $p=0"; "p=-14$

The sum inside the 'absolute' must be $\pm 7$ $+-7$
as $| \pm 7 | = + 7$ $abs(+-7)=+7$

Thus $7 + p = \pm 7$ $7+p=+-7$

Consider $7 + p = + 7 \Rightarrow p = 0$ $" "7+p=+7 => p=0$

Consider $7 + p = - 7 \Rightarrow p = - 14$ $" "7+p=-7 => p=-14$

How do you solve |7+p|=7abs(7+p)=7?