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Anna11 [10]
2 years ago
7

4 (3 + c ) + c = c + 4 what is c?

Mathematics
2 answers:
Lesechka [4]2 years ago
6 0

Answer: c = -2

Step-by-step explanation:

<u>Given</u>

4 (3 + c) + c = c + 4

<u>Expand parentheses and apply the distributive property</u>

4 · 3 + 4 · c + c = c + 4

12 + 4c + c = c + 4

<u>Combine like terms</u>

12 + (4c + c) = c + 4

12 + 5c = c + 4

<u>Subtract 12 on both sides</u>

12 + 5c - 12 = c + 4 - 12

5c = c - 8

<u>Subtract c on both sides</u>

5c - c = c - 8 - c

4c = -8

<u>Divide 4 on both sides</u>

4c / 4 = -8 / 4

\boxed{c=-2}

Hope this helps!! :)

Please let me know if you have any questions

11Alexandr11 [23.1K]2 years ago
5 0

Answer:

4(3 + c) + c = 4 + c \\ 12 + 4c + c = 4 + c \\ 12 + 5c = 4 + c \\ 12 - 4 = c - 5c \\  \\ 8 =  - 4c \\ c =  \frac{ - 8}{4}  \\ c =  - 2 \\ thank \: you

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