Simplify: \( 8w = 48 \) - Ready Digital AB
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:
📰 Is This the Most Anticipated Movie on Netflix EVER? Don’t Miss the Latest Teaser! 📰 Netflix Just Dropped a Rule-Breaking New Film—Are You Ready to Watch It Before Anyone Else? 📰 Watched the First Trailer of Netflix’s HOT New Movie—Your Faves Will Never Be the Same! 📰 Unbelievable Detail Reveals How Super Tengen Toppa Transforms Into The Ultimate Attack 📰 Unbelievable Game Changer Super Smash Flash 2 Slams Back Like Never Before 📰 Unbelievable Secrets In Super Mario Sunshine Gamecube That Will Rock Your World 📰 Unbelievable Secrets Revealed In Tales Of Phantasia Youll Never Guess What Happens Next 📰 Unbelievable Strikethrough Shortcut In Excel Youve Been Missing 📰 Unbelievable Superhero Trailer Just Dropped Supermans Next Battle Will Leave You Speechless 📰 Unbelievable Teen Titans Jinx Exposedwhy This Twist Is Going Viral And Why You Need To Know 📰 Unbelieveable Cast Countdown Superman Actors You Need To Know 📰 Uncover Secrets Of Teleferico Isla Rooseveltyour Ultimate Island Adventure Awaits 📰 Uncover Takoma Park Marylands Best Kept Secret Affordable Living Without Sacrificing Style Or Community 📰 Uncover The Best Secrets Of Suikoden Ii Before Its Too Latedont Miss Out 📰 Uncover The Deep Meanings Behind The Most Recognized Symbols Of Islamic Faith 📰 Uncover The Game Changing Switch 2 Accessories You Must Try Before Theyre Gone 📰 Uncover The Hidden Gems Of The Tennessee State Capitol In Nashvilleexplore Now 📰 Uncover The Hidden Impact Of Taunt Tauntits Redefining Online Competitiveness ForeverFinal 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.
