First, combine the like terms on the left side of the inequality:
#4 - 5m - 8m < -8 - 7m#
#4 + (-5 - 8)m < -8 - 7m#
#4 - 13m < -8 - 7m#
Next, add #color(red)(13m)# and #color(blue)(8)# to each side of the inequality to isolate the #m# term while keeping the inequality balanced:
#color(blue)(8) + 4 - 13m + color(red)(13m) < color(blue)(8) - 8 - 7m + color(red)(13m)#
#12 - 0 < 0 + (-7 + color(red)(13))m#
#12 < 6m#
Now, divide each side of the inequality by #color(red)(6)# to solve for #m# while keeping the inequality balanced:
#12/color(red)(6) < (6m)/color(red)(6)#
#2 < (color(red)(cancel(color(black)(6)))m)/cancel(color(red)(6))#
#2 < m#
To state the solution in terms of #m# we can reverse or "flip" the inequality:
#m > 2#
