How do you simplify #-3( w - 9) - 6( w + 8)#?

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Answer 1 · 2018-01-21T13:37:09

See a solution process below:

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

#color(red)(-3)(w - 9) - color(blue)(6)(w + 8) =>#

#(color(red)(-3) xx w) + (color(red)(-3) xx -9) - (color(blue)(6) xx w) - (color(blue)(6) xx 8) =>#

#-3w + 27 - 6w - 48#

Next, group like terms:

#-3w - 6w + 27 - 48#

Now, combine like terms:

#(-3 - 6)w + (27 - 48) =>#

#-9w + (-21) =>#

#-9w - 21#