How do you solve # 8(2f - 2) = 7(3f + 2) #? Algebra Linear Equations Multi-Step Equations with Like Terms 1 Answer Jill L. Apr 20, 2017 The final answer is #-6=f#. Explanation: #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! Answer link Related questions How do you solve multi step equations by combining like terms? How do you solve multi step equation #w + w + 12 = 40#? How do you solve #3p + 4p + 37 = 79#? How do you solve for f: #f-1+2f+f-3=-4#? How do you combine like terms? How do you combine like terms for #-7mn-2mn^2-2mn + 8#? How do you combine like terms for #3x^2 + 21x + 5x + 10x^2#? What is a term? How do you solve #3v+5-7v+18=17#? How do you solve for x in #5x + 7x = 72#? See all questions in Multi-Step Equations with Like Terms Impact of this question 2920 views around the world You can reuse this answer Creative Commons License