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

what is c?

2 Answers

2 votes

Answer:


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

User Michael Wu
by
8.5k points
2 votes

Answer: c = -2

Explanation:

Given

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

Expand parentheses and apply the distributive property

4 · 3 + 4 · c + c = c + 4

12 + 4c + c = c + 4

Combine like terms

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

12 + 5c = c + 4

Subtract 12 on both sides

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

5c = c - 8

Subtract c on both sides

5c - c = c - 8 - c

4c = -8

Divide 4 on both sides

4c / 4 = -8 / 4


\boxed{c=-2}

Hope this helps!! :)

Please let me know if you have any questions

User VestniK
by
8.4k points

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