How do you simplify #(w - 8) + 2( 4w - 1)#?

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Answer 1 · 2017-05-30T16:05:18

See a solution process below:

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

#(w - 8) + color(red)(2)(4w - 1) =>#

#(w - 8) + (color(red)(2) xx 4w) - (color(red)(2) xx 1) =>#

#(w - 8) + 8w - 2#

Next, expand the term in parenthesis:

#w - 8 + 8w - 2#

Then, group like terms:

#w + 8w - 8 - 2#

Now, combine like terms:

#1w + 8w - 8 - 2 =>#

#(1 + 8)w + (-8 - 2) =>#

#9w + (-10) =>#

#9w - 10#