How do you add #-( w + 6) + 4( 4w + 5)#?

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Answer 1 · 2017-07-15T22:06:08

See a solution process below:

First expand the terms in the parenthesis on the right by multiplying each term within the parenthesis by the term outside the parenthesis:

#-(w + 6) + color(red)(4)(4w + 5) =>#

#-(w + 6) + (color(red)(4) xx 4w) + (color(red)(4) xx 5) =>#

#-(w + 6) + 16w + 20#

Next, remove all the terms from the parenthesis on the left being careful to handle the signs of the individual terms correctly:

#-w - 6 + 16w + 20#

Now, group and combine like terms:

#16w - 1w - 6 + 20#

#(16 - 1)w + (-6 + 20)#

#15w + 14#