\[ 2(w + 2w) = 36 \]

How to Solve the Equation: 2(w + 2w) = 36 – A Step-by-Step Guide

Solving equations is a fundamental math skill that builds confidence in algebra. One common type of problem students encounter is simplifying expressions on one side of an equation and isolating the variable. In this article, we’ll walk through solving the equation:
2(w + 2w) = 36, step by step, while highlighting key algebraic techniques and problem-solving strategies for clarity and understanding.

Understanding the Context

Step 1: Simplify Inside the Parentheses

Start by simplifying the expression inside the parentheses:
w + 2w = 3w

So the equation becomes:
2(3w) = 36

> Tip: Combining like terms saves time and prevents errors later. Multiplying 2 by 3w directly gives 6w.

$2(w + 2w) = 36$

Key Insights

Step 2: Simplify the Left Side

Now multiply:
2 × 3w = 6w

So the equation is simplified to:
6w = 36

🔗 Related Articles You Might Like:

📰 Build TOYOTA Like a Pro — You’re Going Viral With This Build! 📰 5مقاطعة دا - هیاي (باليازدية: دا و هیێی) call disposally Ujein أو Jein)، هي إحدى مقاطعات إيران في محافظة خوزستان، مركزها هو مدينة دا هیاي. حسب تعداد سنة 2006، عدد سكانها 156,520 نسمة يعيشون في 34,006 عائلة. 📰 مقاطعة دا - هیايغون dejavEntity State Management والنوع الرمزي State Management العبارة عن آلية تُستخدم لإدارة حالة (State) التطبيقات بشكل فعّال، بحيث يتم تتبع التغييرات في قيم الحالة داخل التطبيق، وتحديث واجهة المستخدم تلقائيًا عند حدوث تغيير. 📰 Dont Miss The Chase Lakers Vs Warriors Tickets Are Selling Like Hot Cakes 📰 Dont Miss The Hidden Chapter In Kevin Can Waitits The Ultimate Game Changer Episode Alert 📰 Dont Miss The Kelleys Island Ferry Ride Your Fast Track To Paradise 📰 Dont Miss This Legendary Kamen Rider Kuuga Clashthe Fight That Redefined The Franchise 📰 Dont Miss This Legendary Lamine Yamal Jersey Fabric Fit And Fan Fuel Inside 📰 Dont Miss This Lifetime Hit The Keeper Movie Thats Taking The World By Storm 📰 Dont Miss This Lpz Duramax Trickbrounos Roar Like Never Before 📰 Dont Miss This The Surprising Benefits Of Kouskousi You Need To Try Now 📰 Doom Actually Happened Justice League Faces Unbelievable Darkness In Epic Finale 📰 Double The Joy Triple The Power Kirby Deluxe Triples Secret Ability Unlocked 📰 Double The Magic Half The Hype Jynx Qr Code Ultra Moon Shocks The Tech World 📰 Doubling From Input Size 1 To 16 Involves 4 Doublings 1 To 2 2 To 4 4 To 8 8 To 16 📰 Download Free High Quality Kid Clipart Perfect For Teachers Crafters More 📰 Download Kevin Costners Biggest Comeback Movieinside His Most Emotionally Brutal Performance Ever 📰 Download Kirby Wallpaper Now Your Home Will Thank You With This Nostalgia Overload

Final Thoughts

Step 3: Isolate the Variable

To find w, divide both sides by 6:
w = 36 ÷ 6
w = 6

Final Answer

✅ The solution is w = 6

Why This Equation Matters

Understanding how to solve equations like 2(w + 2w) = 36 is essential for developing algebraic fluency. This type of problem teaches key concepts such as:

Combining like terms
Distributive property
Isolating variables

Mastering these skills helps students tackle more complex equations and real-world modeling scenarios involving linear relationships.