Solve the equation. Answer in simplest fraction form.
1/2(6c + 2) = -3(c-1)
To solve the equation, we can start by distributing on both sides:
1/2(6c + 2) = -3(c-1)
3c + 1 = -3c + 3
Next, we want to isolate the variable terms on one side and the constant terms on the other side. Let's move the -3c term to the left side by adding 3c to both sides:
3c + 3c + 1 = -3c + 3 + 3c
6c + 1 = 3
Now, let's move the constant term of 1 to the right side by subtracting 1 from both sides:
6c + 1 - 1 = 3 - 1
6c = 2
Finally, we can solve for c by dividing both sides of the equation by 6:
6c/6 = 2/6
c = 1/3
Therefore, the solution to the equation is c = 1/3.