#8(2f-2)=7(3f+2)#
#(8*2f)+(8*-2)=(7*3f)+(7*2)-># Expand both sides by using the Distributive Property.
#16f-16=21f+14#
#cancelcolor(red)(16f)-16cancelcolor(red)(-16f)=cancel(21fcolor(red)(-16f))5f+14-># Subtract #16f# from both sides.
#cancel(-16color(blue)(-14))-30=5fcancelcolor(blue)(+14)cancelcolor(blue)(-14)-># Subtract #14# from both sides.
#cancel(-30color(green)(/5))-6=cancelcolor(green)(5)fcancelcolor(green)(/5)-># Divide both sides by 5.
#-6=f-># Final answer!