How do you combine like terms in #-7( 10r + 4) + 2( 8r + 8)#?

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Answer 1 · 2017-07-20T00:49:04

See a solution process below:

First, expand the terms in parenthesis by multiplying each term within a parenthesis by the term outside that parenthesis;

#color(red)(-7)(10r + 4) + color(blue)(2)(8r + 8) =>#

#(color(red)(-7) xx 10r) + (color(red)(-7) xx 4) + (color(blue)(2) xx 8r) + (color(blue)(2) xx 8) =>#

#-70r + (-28) + 16r + 16 =>#

#-70r - 28 + 16r + 16#

Next, group like terms:

#-70r + 16r - 28 + 16#

Now, combine like terms:

#(-70 + 16)r + (-28 + 16) =>#

#-54r + (-12) =>#

#-54r - 12#