First, rewrite the numerator of the fraction on the left side of the equation. Remember, **minus a minus is a plus**:

#(-4h + 5)/-7 = 13#

Next, multiply each side of the equation by #color(red)(-7)# to eliminate the fraction while keeping the equation balanced:

#color(red)(-7) xx (-4h + 5)/-7 = color(red)(-7) xx 13#

#cancel(color(red)(-7)) xx (-4h + 5)/color(red)(cancel(color(black)(-7))) = -91#

#-4h + 5 = -91#

Then, subtract #color(red)(5)# from each side of the equation to isolate the #h# term while keeping the equation balanced:

#-4h + 5 - color(red)(5) = -91 - color(red)(5)#

#-4h + 0 = -96#

#-4h = -96#

Now, divide each side of the equation by #color(red)(-4)# to solve for #h# while keeping the equation balanced:

#(-4h)/color(red)(-4) = (-96)/color(red)(-4)#

#(color(red)(cancel(color(black)(-4)))h)/cancel(color(red)(-4)) = 24#

#h = 24#