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3 votes
Combine like terms. What is a simpler form of each expression? 4c-4d+8c-3d

2 Answers

3 votes

Answer: 12c-7d

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Step-by-step explanation:

The terms 4c and 8c are one pair of like terms that combine to 4c+8c = 12c. We add 4 and 8 to get 12, then tack a 'c' at the end

The other pair of like terms are -4d and -3d. They combine to -7d for similar reasoning.

12c and -7d are not like terms, so we can't combine them and we stop here.

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One way to think of combining like terms is consider simplifying 2c+3c. You could say that 2c represents having 2 cups while 3c is having 3 cups. Writing 2c+3c means we start with 2 cups and add on 3 more getting a total of 2+3 = 5 cups. Symbolically we would then write 5c. Therefore 2c+3c = 5c.

User Anthony Shull
by
5.4k points
6 votes

Answer:

12c-7d

Step-by-step explanation:


4c-4d+8c-3d=0\\4c+8c=3d+4d\\12c=7d\\12c-7d

User J Benjamin
by
4.8k points