## Solving for 'r' in the Equation 0.5(r + 2.75) = 3

This article will guide you through the steps involved in solving the equation **0.5(r + 2.75) = 3** for the variable 'r'.

### Step 1: Distribute

Begin by distributing the 0.5 on the left side of the equation:

0.5 * r + 0.5 * 2.75 = 3

This simplifies to:

0.5r + 1.375 = 3

### Step 2: Isolate the Variable

To isolate the variable 'r', subtract 1.375 from both sides of the equation:

0.5r + 1.375 - 1.375 = 3 - 1.375

This leaves us with:

0.5r = 1.625

### Step 3: Solve for 'r'

Finally, divide both sides of the equation by 0.5 to solve for 'r':

0.5r / 0.5 = 1.625 / 0.5

Therefore, **r = 3.25**.

### Verification

To verify our solution, substitute 'r = 3.25' back into the original equation:

0.5(3.25 + 2.75) = 3

Simplifying the left side:

0.5(6) = 3

3 = 3

The equation holds true, confirming that **r = 3.25** is the correct solution.