How do you simplify #(3+k)(-4)-5k#? Algebra Expressions, Equations, and Functions Variable Expressions 1 Answer Don't Memorise Apr 24, 2016 # = -12 - 9k # Explanation: #(3 + k ) color(green)(( -4)) - 5k# # = (3) * color(green)((-4)) + (k ) * color(green)(( -4)) - 5k# # = -12 - 4k - 5k # Grouping like terms: # = -12 + (- 4k - 5k )# # = -12 - 9k # Answer link Related questions How do you write the variable expression for: a quotient of 2 and the sum of a number and 3 ? What are variables? What are variable expressions? How do you write variable expressions? How do you evaluate variable expressions? How do you simplify the expression #3x-x+4#? How do you write a quotient of a number and 6 as an expression? How do you evaluate the expression #2x+1# for #x=1#? How do you write a product of a number and 2 as an expression? How do you write 5 less than 2 times a number as a variable expression? See all questions in Variable Expressions Impact of this question 1768 views around the world You can reuse this answer Creative Commons License