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Mathematics 15 Online
OpenStudy (jessiegonzales):

MEDAL!!!! 20. Combine like terms. What is a simpler form of each expression? 9c-6d+4c-3d

OpenStudy (misssunshinexxoxo):

9c + 4c - 6d - 3d. 9c + 4c = 13c, so overall, it simplifies down to 13c - 9d.

OpenStudy (jessiegonzales):

okay thanks one question! 6d-3d=3d? so wouldn't it be 13c-3d?

OpenStudy (misssunshinexxoxo):

What are your answer choices?

OpenStudy (jessiegonzales):

there are no answer choices

OpenStudy (jessiegonzales):

@butterflydreamer

OpenStudy (misssunshinexxoxo):

Do you know how to simplify?

OpenStudy (jessiegonzales):

yes

OpenStudy (jessiegonzales):

so 13c-9d is the answer?

OpenStudy (usukidoll):

let me check first we rearrange the terms 9c+4c-6d-3d

OpenStudy (usukidoll):

we are just adding for c 9c+4c = 13c we are dealing with negative numbers for d -6d-3d = -9d so let's modify the problem 9c+4c+6d-3d

OpenStudy (usukidoll):

the c portion remains the same.. we just have to figure out what 6d-3d is

OpenStudy (jessiegonzales):

3d

OpenStudy (usukidoll):

mhm so the answer is 13c+3d

OpenStudy (jessiegonzales):

yes thanks

OpenStudy (usukidoll):

When we are dealing with problems like -6d-3d both of these numbers are negative so the negative sign remains and your number should increase the problem can also be re-written as -6d+(-3d) but normally the + sign is dropped because writing 2 signs at once is frowned upon, so it becomes -6d-3d 6d-3d is just normal subtraction.

OpenStudy (jessiegonzales):

oh.. so 13c+9d is the answer

OpenStudy (usukidoll):

sort of .. the negative sign stays for -6d-3d

OpenStudy (usukidoll):

-6d is negative -3d is also negative -6d-3d produces a bigger negative number.. d(-6-3) (I factored out the d to make it easier to see that -6-3 = -9)

OpenStudy (jessiegonzales):

so 13c+9d is the answer

OpenStudy (usukidoll):

. 13c-9d was the correct answer... I typed that we have a negative number and another negative number.... which is -6d-3d .. that negative sign stays.

OpenStudy (usukidoll):

I'll use a number line |dw:1435040305329:dw|

OpenStudy (usukidoll):

we have the problem -6-3... I start at -6|dw:1435040356711:dw|

OpenStudy (usukidoll):

-3 means I have to move 3 units to the left. -6-3 = -9|dw:1435040379706:dw|

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