First, group and combine like terms on the left side of the equation:
#-4r - 6r + 5 = -32#
#(-4 - 6)r + 5 = -32#
#-10r + 5 = -32#
Next, subtract #color(red)(5)# from each side of the equation to isolate the #r# term while keeping the equation balanced:
#-10r + 5 - color(red)(5) = -32 - color(red)(5)#
#-10r + 0 = -37#
#-10r = -37#
Now, divide each side of the equation by #color(red)(-10)# to solve for #r# while keeping the equation balanced:
#(-10r)/color(red)(-10) = (-37)/color(red)(-10)#
#(color(red)(cancel(color(black)(-10)))r)/cancel(color(red)(-10)) = 37/10#
#r = 37/10# or #r = 3.7#