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