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what is (m+7)+2

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2 Answers

You have a problem in combining like terms. In this problem, there are two types of terms: those with an m in front of them and those that do not. There is one term with an m so leave that one alone. Now look for all terms that do not contain an m. There are two: the 7 and the 2. Now, the 7 is in a set of parenthesis. But, since there isn't anything in on either side of the parenthesis, you can remove the parenthesis so you have m + 7 + 2. Now, add the 7 and 2 and you have m + 9!

You can also think of it as (1)(m + 7) + 2 and distribute the (1). We call this the implied 1. It's in front of any term in any equation but we don't write it down because multiplying by 1 doesn't do anything.

 

Another way to think of this question is to apply the associative rule of addition, which says that if we are adding 3 terms together that order doesn't matter. So, we can take (m+7)+2 and change it to m+(7+2). Just like Jaison said, then we combine like terms.

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