How do you simplify #4(14c-10d)-6(d+4c)#?

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Answer 1 · 2017-08-24T00:32:26

The Distributive Property is what you will use first.

4(14c - 10d) - 6(d + 4c) = #4*14c - 4*10d - 6*d - 6*4c#

Simplify: 56c - 40d - 6d - 24c

Combine like terms: 56c - 24c - 40d - 6d = 32c - 46d

Answer 2 · 2017-08-24T00:35:47

#32c-46d#

Distribute #4# to #14c# and #-10c# and distribute #-6# to #d# and #4c#

#[4*14c+4*-10d][-6*d+##-6*4c]#

#56c-40d-6d-24c#

Identify and combine like terms:

#color(red)(56c)color(blue)(-40d-6d)color(red)(-24c)#

#32c-46d#