SOLUTION: what is the simpler form for -5*(c+d)-4d+5c-d

Question 105702: what is the simpler form for -5*(c+d)-4d+5c-d
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given to simplify:
.
-5*(c+d)-4d+5c-d
.
First do the distributive multiplication of -5 times each of the two terms in the parentheses.
When you do this multiplication you get -5c - 5d. Substituting this result into the equation
in place of the -5*(c+d) results in the equation becoming:
.
-5c - 5d - 4d + 5c - d
.
Notice that the -5c and the +5c combine to cancel each other out. So they disappear and
the polynomial reduces to:
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-5d - 4d - d
.
When you sum these three negative terms, you get -10d ... (-5 -4 = -9 and -9 - 1 = -10).
.
So the given polynomial simplifies to -10d.
.
Hope this helps you to understand the problem.

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