To solve the equation for \( r \):

Given:
\[
0.5(r + 2.75) = 3
\]

### Step 1: Eliminate the fraction by multiplying both sides by 2.
\[
2 \times 0.5(r + 2.75) = 2 \times 3
\]
\[
r + 2.75 = 6
\]

### Step 2: Subtract 2.75 from both sides to isolate \( r \).
\[
r = 6 - 2.75
\]
\[
r = 3.25
\]

So, the value of \( r \) is \( \boxed{3.25} \).

Do you want more details or have any questions?

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Here are 8 related questions you might consider:

1. What happens if the equation was \( 0.5(r - 2.75) = 3 \)?
2. How do you solve \( 0.25(r + 3.5) = 5 \)?
3. What if the equation was \( 0.5(r + 2.75) = 6 \)?
4. How can you solve for \( r \) in the equation \( r/4 + 2 = 5 \)?
5. What happens if you have \( 3(r + 4) = 12 \)?
6. How would you solve \( 0.75(r + 1.25) = 4 \)?
7. What if the equation was \( 0.5r + 2.75 = 3 \) instead?
8. How would you solve \( 2r + 1.5 = 7.5 \)?

**Tip:** When solving equations, always perform the same operation on both sides to maintain equality.

Learn how to solve the equation 0.5(r + 2.75) = 3 step-by-step with detailed explanations. This problem involves basic algebraic concepts such as linear equations and is suitable for students in Grades 6-8.

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