How do you solve $abs(-g) = -5g +2$ ?

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Answer 1 · 2017-03-12T23:46:24

$g=1/2$
$g=1/3$

There are two scenarios of this problem:
If |-g|=-g:
$-g=-5g+2$
$4g=2$
$g=1/2$

If |-g|=g:
$g=-5g+2$
$6g=2$
$g=1/3$

Note: if g=0, then the equation is false as $0 cancel= 2$

How do you solve abs(-g) = -5g +2abs(-g) = -5g +2?