Solve for r.

Give an exact answer.

1/2r-3=2 (4-3/2r)

We can use the distribution method for this:

1/2r - 3 = 2 (4 - 3/2r)

Multiply 2 by everything inside the parentheses:

1/2r - 3 = 8 - 3r.

Move variables to one side, and numbers to another:

1/2r + 3r = 8 + 3.

3 1/2r = 11.

7/2r = 11.

Divide by 7/2:

r = 22/7.

Not sure this is correct.