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С+ 6= -3с + 6 solve for equation

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Final answer:

To solve the equation c + 6 = -3c + 6 for c, first combine like terms and isolate c, which after simplification reveals that c = 0.

Step-by-step explanation:

To solve for c in the equation c + 6 = -3c + 6, we first want to get all terms containing c on one side and the constant terms on the other. Here's how we do it step by step:

  1. Add 3c to both sides of the equation to move all terms with c to the left side:
    c + 3c + 6 = 6.
  2. Combine like terms:
    4c + 6 = 6.
  3. Subtract 6 from both sides to isolate the c term:
    4c = 0.
  4. Divide both sides by 4 to solve for c:
    c = 0.

So, the solution to the equation is c = 0.

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