Final answer:
To solve the equation 4c + 3(2-c) = 3c, we simplify the equation to get c + 6 = 3c, then isolate c to obtain the solution, c = 3.
Step-by-step explanation:
If we want to solve the equation 4c + 3(2-c) = 3c for c, we should first expand and simplify the equation.
Expanding the equation, we get 4c + 6 - 3c = 3c. When we simplify, the equation becomes c + 6 = 3c. Next, we will move all the terms involving c to one side to isolate c. Subtracting c from both sides gives us 6 = 2c. Finally, we divide both sides by 2 to solve for c, resulting in c = 3.