5-r=2-4r

Answer 1

To solve the equation \(5 - r = 2 - 4r\), follow these steps:

1. Rearrange the equation to isolate the variable \(r\). Start by adding \(4r\) to both sides:

   \[ 5 - r + 4r = 2 - 4r + 4r \]

   This simplifies to:

   \[ 5 + 3r = 2 \]

2. Next, subtract \(5\) from both sides:

   \[ 3r = 2 - 5 \]

   Which simplifies to:

   \[ 3r = -3 \]

3. Finally, divide both sides by \(3\) to solve for \(r\):

   \[ r = \frac{-3}{3} = -1 \]

So, the solution is \(r = -1\).