How do you solve # 1/3 z + 1/6 = 5 1/6 #? Algebra Linear Equations Multi-Step Equations with Like Terms 1 Answer EZ as pi Mar 24, 2018 #z=15# Explanation: #1/3z+1/6 =5 1/6" "larr# change to improper fractions #1/3z+1/6 = 31/6" "larr xx 6# to cancel the denominators #color(blue)(6xx) 1/3z+color(blue)(6xx)1/6 = color(blue)(6xx)31/6# #2z +1 = 31# #" "2z =30# #" "z = 15# 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 1629 views around the world You can reuse this answer Creative Commons License