Simplify: \( 8w = 48 \) - Richter Guitar
How to Simplify the Equation \( 8w = 48 \): A Step-by-Step Guide
How to Simplify the Equation \( 8w = 48 \): A Step-by-Step Guide
Solving equations is a fundamental skill in algebra, and simplifying expressions like \( 8w = 48 \) is essential for building strong problem-solving abilities. In this article, we’ll walk through the process of simplifying and solving the equation \( 8w = 48 \) in a clear, step-by-step manner—perfect for students, educators, and anyone looking to strengthen their math foundation.
Understanding the Context
What is the Equation \( 8w = 48 \)?
The equation \( 8w = 48 \) is a linear equation where \( w \) is a variable representing an unknown value. Our goal is to isolate \( w \) and determine its value.
Step 1: Understand the Equation
Image Gallery
Key Insights
The expression \( 8w \) means “8 times \( w \)” — in other words, 8 multipled by the unknown variable \( w \). The equation states that this product equals 48.
To simplify and solve for \( w \), we reverse the multiplication by dividing both sides of the equation by 8.
Step 2: Solve for \( w \) by Dividing Both Sides
Start with the original equation:
🔗 Related Articles You Might Like:
📰 What Happened to Fnma on the NYSE? The Shocking Rise Behavior You Cant Miss! 📰 Fnma Hits NYSE—Heres How It Could Crush the Market in 2024! 📰 The NYSE Breakthrough of Fnma: Why Everyones Talking (And Investors Should Too!) 📰 Camilas Orlando Fl 3115708 📰 Boost Curb Appeal Cure Laundry Stress These Laundry Room Decor Secrets Everyones Trying 2800947 📰 How Many Days Until June 27 1968626 📰 Seed Finder 9117579 📰 The Baxters Cast 7572947 📰 Youll Be Shocked How To Log Into Oracle Com Instantly Like A Pro 5041151 📰 How The Nico Robot Puppy Smartly Combined Cute Design With Groundbreaking Tech 4491037 📰 Step Into The Streets Use This Graffiti Generator To Design Fierce Murals 4687278 📰 Fireboy And Watergirl 5 1265618 📰 These Excellent Board Games Will Take Your Family Game Night To The Next Level 7468321 📰 Wells Fargo Business Account Login 7856035 📰 Hyvees Hidden Job Boostopportunities Arrive Tonight 8250910 📰 Best Free Pc Games 2024 2585171 📰 Hcm Oracle Cloud Transform Your Human Capital Management Overnight 69103 📰 This Holiday Tree Fits Your Home And Your Wallet Better Than You Guess 4166612Final Thoughts
\[
8w = 48
\]
Divide both sides by 8:
\[
\frac{8w}{8} = \frac{48}{8}
\]
Simplify both sides:
\[
w = 6
\]
Step 3: Verify the Solution
Plug \( w = 6 \) back into the original equation to check accuracy:
\[
8w = 8 \ imes 6 = 48
\]
Since both sides are equal, the solution is correct.
