\[ 2(w + 2w) = 72 \] - jntua results
Solve the Equation 2(w + 2w) = 72: Step-by-Step Guide
Solve the Equation 2(w + 2w) = 72: Step-by-Step Guide
If you're tackling algebra, you’ve likely encountered expressions like 2(w + 2w) = 72. This equation is a common starting point for students learning to simplify expressions and solve linear equations. In this SEO-optimized article, we’ll explore how to solve 2(w + 2w) = 72 step-by-step, explain the logic behind each step, and offer tips to master similar problems.
Understanding the Context
What is the Equation 2(w + 2w) = 72 All About?
The equation 2(w + 2w) = 72 involves simplifying a linear expression inside parentheses and solving for the unknown variable w. It’s a great example of combining like terms and applying basic algebraic operations.
Why solve equations like this?
Solving linear equations strengthens foundational algebra skills, prepares students for more advanced math, and appears frequently on standardized tests and school assessments.
Image Gallery
Key Insights
Step-by-Step Solution
Step 1: Combine like terms inside the parentheses
Inside the parentheses, w + 2w:
- Both terms involve w, so add the coefficients:
\( 1w + 2w = 3w \)
Now rewrite the equation:
\[
2(3w) = 72
\]
Step 2: Multiply the constants
🔗 Related Articles You Might Like:
📰 You Thought Chapter 1 Was Intense—Chapter 2 Drops Life-Changing Twists That Leave You Speechless! 📰 The Strangers Chapter 2 Reveals Secrets That Could Change Everything—Don’t Miss Out! 📰 Watch as The Strangers Chapter 2 Unleashes a Mind-Blowing Cover-Up You Never Saw Coming! 📰 White Linen Pants The Secret Accessory Future Fashion Trends Require Shop Now 📰 White Lines On Your Screen Heres The Hidden Message No One Wants To See 📰 White Lines On Your Screen Scientists Are Racing To Unlock The Secret 📰 White Lingerie Secrets To Make Every Moment Sparkle You Spill Them 📰 White Long Dress That Slays Every Style Contextshop Now Before It Disappears 📰 White Long Dress Thats Hotter Than Coffeesee 5 Reasons Its Making Headlines Today 📰 White Long Sleeve Dress Secrets Every Fashionista Needsshop Now Before Its Gone 📰 White Long Sleeve Dress That Looks Like Youre Floating On Cloudsshockingly Stylish 📰 White Lotus Season 3 Episode 6 You Wont Exit This Episode Alive Spoilers Inside 📰 White Lotus Season 3 Episode 6 Shocks Everyoneyou Wont Believe What Happens Next 📰 White Maine Coon Madness Why This Gigantic Fluffy Giant Is Hotter Than Ever 📰 White Maine Coon Uncovered This Majestic Cat Steals Hearts Online Virally 📰 White Marble Mystery This Timeless Material Will Blanket Your Space In Elegance 📰 White Marble Uncovered The Luxurious Stone Taking Interior Designs By Storm 📰 White Mask Hidden Secrets That Will Leave You StunnedFinal Thoughts
Multiply 2 by 3w:
\[
6w = 72
\]
Step 3: Isolate the variable
Divide both sides by 6 to solve for w:
\[
w = \frac{72}{6} = 12
\]
✅ Final Answer
\[
\boxed{w = 12}
\]
How to Check the Answer
Pull w = 12 back into the original equation to verify:
\[
2(12 + 2 \cdot 12) = 2(12 + 24) = 2(36) = 72
\]
✔️ The equation holds true.
