Simplify: \( 8w = 48 \) - Baxtercollege
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:
📰 Can 3 Ninjas Conquer the Mega Mountain? GAME-CHANGING Action You Won’t Believe! 📰 3 Ninjas Mega Mountain: Behind the Mask, Real Legends – You’ll Be Hooked! 📰 Discover the Hidden Secrets in 3 Ninjas Mega Mountain – Movie Fans Are Talking! 📰 Spike Attention The Hornymeme Turning Hearts Trending Extra Hot Join The Rave 📰 Split Ends Destroying Your Hair This Pro Method Works Now 📰 Spoil Yourself Instantly The Conspiracy Behind The Herms Blanket Trend You Cant Miss 📰 Spoiler Alert Only Grams Of Sugar In A Teaspoondont Believe Everything You Hear 📰 Spotting The Truth His Eyes Reveal The Hidden Path In These Sparrow Lyrics 📰 Spring 2025 Alert Only Number Days Left To Prepare For Springtime 📰 Spring 2025 Is Back In Just Count Daysheres The Exact Date 📰 Spring 2025 Is Coming In Just X Daysdont Miss This Golden Opportunity 📰 Spring 2025 Is Coming Soondiscover How Many Days Are Left Until Spring Begins 📰 Spring 2025 Is Just 90 Days Awayare You Ready For The Season Change 📰 Spring In 2025 Heres The Exact Number Of Days Left To Stay Hopelessly Excited 📰 Spring Into Decemberfind Out How Many Days Until The Easter Celebration 📰 Spring Into Fashion With These Unstoppable Hollister Dresses That Dominate Every Season 📰 Spring Into Style Trend Setting Holiday Party Outfits You Need To Try 📰 Spring Is Coming Find Out How Many Days Until Spring Fever StartsFinal 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.
