How do you combine like terms in #-11j + 16 - 22j -27 + 5j#?

1 Answer
Petra H
Apr 6, 2017

Combine to get #-28j-11#

Explanation:

Faribault Middle School

Like terms are terms that are being multiplied by the same variable that are raised to the same power.

First we'd want to sort them by variable.
Variable #j-># #-11j, -22j#, and #5j#.
No variable #-># #16# and #-27#.

We'd then just add them based on their coefficient.
#j-># #-11-22+5=-28#
None #-># #16-27=-11#

Then we'd add (technically multiply) the variable back in:
#-28j# and #-11#

Then we'd just add the two like terms to get their simplified form:
#-28j-11#

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