Simplify: \( 8w = 48 \) - Parker Core Knowledge
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:
📰 You Won’t Survive a Red Dead Undead Nightmare – Shocking Game Moments Revealed! 📰 Red Dead Undead Nightmare: What Horror Awaits in the New Horror Expansion? 📰 This Fire-Breathing Red Doberman Just Shocked Everyone Who Saw Him! 📰 Secure Bank Of America Log In 5004915 📰 Arch Manning Nil Deal 6962537 📰 Bdubs All You Can Eat Days 33011 📰 Hipaa Site Hidden Secrets That Could Save You Millionsyou Need To See This 1303507 📰 Tv Cabinet With Tv 9897117 📰 How A Single Surge Transformed A Team Into Legends 4355096 📰 Windows 10 Laptop Screen Flickering Youre Not Aloneheres What You Must Do 7570883 📰 How Microsofts Az Language Speech Pricing Could Save You Thousandsbreaking Down The Costs 5606882 📰 Jellybeanbrains Leaked 5075719 📰 Finally Ex Magnus Your Moodapp That Changes How You Feel Every Day 1752206 📰 Litiasis Renal 5514062 📰 Parts Of A Plant 3346746 📰 Basic Algebra 7284938 📰 This One Comic Planet Will Change Everything You Thought About Superheroes Forever 3398753 📰 Better Assume The Gear Train Is Such That The Hour Hand Rotates Once Per Hour But Scaled 112 But The Motion Is 493544Final 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.
