How do you solve #14 + 5n = -4n + 17 #? Algebra Linear Equations Multi-Step Equations with Like Terms 1 Answer Alan P. Jun 30, 2016 #n=color(blue)(1/3)# Explanation: Given: #color(white)("XXX")14+5n=-4n+17# Add #4n# to both sides #color(white)("XXX")14+9n=17# Subtract #14# from both sides #color(white)("XXX")9n=3# Divide both sides by #9# #color(white)("XXX")n=1/3# 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 3763 views around the world You can reuse this answer Creative Commons License