Simplify: \( 8w = 48 \) - IQnection
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:
📰 trump mcdonalds 📰 the good karma hospital 📰 health insurance news today 📰 Pennywise Show 9095037 📰 The Net So Powerful It Turned A Players Strike Into A Global Sensation 5609444 📰 Signs Of Emotional Trauma In Adults 8231909 📰 This Simple Control Panel Secret Saves Your Future Forever 9561747 📰 Plug Stock News You Cant Ignorethis Secret Trend Will Shock You 809392 📰 Online Retirement Calculator 7367973 📰 Downtown Minneapolis Hotels 7807808 📰 Amtrak New Jersey 716198 📰 Install Microsoft Office On Macbook In Minutessaves Time Boosts Productivity 3560035 📰 Alan Ritchson American Idol 450772 📰 How Many Grams In An Oz 2540529 📰 Step Up Your Sound The Ultimate Guide To Connecting Your Subwoofer Network For Maximum Bass 2262129 📰 Benson Boone On American Idol 1117059 📰 Colorful Bird 8426358 📰 401K Contribution Limits 2023 8565051Final 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.
