To solve for \( r \) in the equation:

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

### Step 1: Eliminate the coefficient of 0.5
To remove the 0.5, multiply both sides of the equation by 2:

\[
2 \times 0.5(r + 2.75) = 2 \times 3
\]

This simplifies to:

\[
r + 2.75 = 6
\]

### Step 2: Isolate \( r \)
Now, subtract 2.75 from both sides to isolate \( r \):

\[
r = 6 - 2.75
\]

### Step 3: Simplify the right-hand side
Perform the subtraction:

\[
r = 3.25
\]

Thus, the solution is:

\[
r = 3.25
\]

Would you like more details or have any questions?

### Related Questions:
1. How do you solve for a variable when there's a fraction involved?
2. How do you check if a solution is correct in a linear equation?
3. What are the steps for solving two-step linear equations?
4. How do you solve for a variable inside parentheses?
5. Can equations with decimals be simplified into fractions for easier solving?

**Tip**: Always check your solution by substituting it back into the original equation to verify the result!

Learn how to solve the linear equation 0.5(r + 2.75) = 3 with a step-by-step guide. This problem involves key algebraic concepts, such as solving equations with decimals and isolating variables. Perfect for students in Grades 6-8.

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