%3D3-answer.jpeg "0.5(r+2.75)=3 Answer")
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.