How do you solve #-82 > -2 (6-4m)-6#?

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Answer 1 · 2018-07-24T18:38:03

#m < -8#

#-82 > -2(6-4m)-6#

Distribute/expand the right side:
#-82 > -12 + 8m - 6#

Simplify the right side:
#-82 > -18 + 8m#

Add #color(blue)18# to both sides:
#-82 quadcolor(blue)(+quad18) > -18 + 8m quadcolor(blue)(+quad18)#

#-64 > 8m#

Divide both sides by #color(blue)8#:
#(-64)/color(blue)8 > (8m)/color(blue)8#

#-8 > m#

Therefore,
#m < -8#

Hope this helps!