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

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:

📰 From Scales to Separatism: The Hidden Secrets of the Last Epic Dragon Anime! 📰 You Won’t Believe What Happened When Dragons Rewrote the Dungeons — You’re Not Ready! 📰 Dragon and Dungeons: The Epic Movie You Didn’t Know You Had to Watch – Spoiler Detection Inside! 📰 Why The Givenchy Gentlemans Next Scene Will Change Everything You Thought You Knew 📰 Why The Golden Chicken Is Unlocking Power Lost To Timewatch Before Its Too Late 📰 Why The Good Salesperson Fails And The Legendary Pro Changes Everything 📰 Why The Great Smoky Cannabis Company Is Taking The Illicit Scene To New Heights 📰 Why The Green Ribbon Carries A Secret That Changes Everything 📰 Why The Haggis Obsession Finally Unleashes The Animal Worlds Shocking Surprise 📰 Why The Harry Potter Store In Chicago Is A Must Visit For Magic Lovers Everywhere 📰 Why The Hawaiian Honeycreeper Is More Than Just A Feather Its A Biodiversity Cry 📰 Why The Heart Of Helsinki Lies South A Shocking Glimpse Into Finlands Overlooked Pride 📰 Why The Sports World Is Freaking Out Over Giannis Shoes 📰 Why The Ultimate Hammock Design Is Hiding In Plain Sightand Youre Missing It 📰 Why The World Is Holding Its Breath Over This Fragile Peace 📰 Why The World Is Obsessed With Girls Who Build Iron Proof 📰 Why The World Stopped Watching Hank Fraleythe Untold Story That Chills You 📰 Why The World Stopped Watching The Popes Shocking Secret Revealed

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.