solve for r

Question

12- 1/5r = 2r + 1

Answer 1

To solve for r, we need to isolate r on one side of the equation. Let's simplify the equation step by step:

12 - 1/5r = 2r + 1

First, let's eliminate the fractions by multiplying every term in the equation by 5:

5(12) - 5(1/5r) = 5(2r) + 5(1)

This simplifies to:

60 - r = 10r + 5

Next, let's group all the terms with r on one side of the equation by adding r to both sides:

60 - r + r = 10r + r + 5

The -r and +r on the left side cancel out, and we have:

60 = 11r + 5

Now, let's subtract 5 from both sides to move the constant term to the other side:

60 - 5 = 11r + 5 - 5

This simplifies to:

55 = 11r

Finally, let's divide both sides by 11 to solve for r:

55/11 = (11r)/11

This simplifies to:

5 = r

Therefore, the solution is r = 5.