How do you simplify #-3z + 8(z + y) 5z#? Algebra Properties of Real Numbers When to Use the Distributive Property 1 Answer Don't Memorise Sep 4, 2015 #=color(blue)(−3z+40 z^2 +40yz# Explanation: #−3z+color(blue)(8)(z+y)5z# #−3z+color(blue)((8 * 5z))(z+y)# #−3z+color(blue)((40z))(z+y)# Multiplying #color(blue)(40z)# with both terms within the bracket #−3z+color(blue)((40z)) * (z) +color(blue)((40z))*(y)# #=color(blue)(−3z+40 z^2 +40yz# Answer link Related questions How do you simplify #(9-6y)/3#? How do you simplify #\frac{10x+8y-1}{2# using the distributive property? How do you use the distributive property to simplify #- \frac{6z - 2}{3}#? How do you simplify #6 + (x - 5) + 7#? How do you use the distributive property to simplify #(r + 3)(-5)#? What is the student error if a student rewrote #4(9x + 10)# as #36x + 10# ? How do you use the distributive property to calculate #6(19.99)# in your head? When do you use the Distributive Property? How do you use the distributive property to multiply #6(3r+4s)#? How do you use the distributive property to simplify #79(101)#? See all questions in When to Use the Distributive Property Impact of this question 2110 views around the world You can reuse this answer Creative Commons License