How do you solve #-4( - 8- 2n ) - 5n = 7n + 16#? Algebra Linear Equations Multi-Step Equations with Like Terms 1 Answer Zain A. · Stefan V. Jan 15, 2018 #n = 4# Explanation: 1) Expand the bracket #-8 * (-4) = 32# #-4 * (-2n) = 8n# #32 + 8n - 5n = 7n + 16# 2) Solve the equation #32 + 8n - 5n = 7n + 16# #32 + 3n = 7n + 16# #32 - 16 + 3n = 7n + 16 - 16# #16 + 3n = 7n# #16 + 3n -3n = 7n - 3n# #16 = 4n# #n = 16/4# #n = 4# 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 1618 views around the world You can reuse this answer Creative Commons License