How do you sove #-7+ 4| 8n - 8| = 25#?

1 Answer
Mar 15, 2018

#n=2,orn=0.#

Explanation:

We know that,
#color(red)(|x|=x,x>=0)#
#color(red)(|x|=-x,x<0)#
So,
#-7+4|8n-8|=25#
#=>4|8n-8|=25+7#
#=>4|8n-8|=32#
#=>|8n-8|=32/4#
#=>|8n-8|=8#
#=>8n-8=8,8n-8>=0#
# or 8n-8=-8,8n-8,<0#
#=>8n=16,8n>=8#
#or 8n=0,8n<8#
#=>n=2,n>=1#
#orn=0,n<1#