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.

Solved 4w^2/w^2 - 36 = 12/w -6 + 5w/w + 6 | Chegg.com

Image Gallery

Solved 4w^2/w^2 - 36 = 12/w -6 + 5w/w + 6 | Chegg.com
Solved Simplify.w2+6w-74w2-36w+32 | Chegg.com
Solved Solve for w.3w2w2-36=9w-6+4ww+6If there is more than | Chegg.com
Solved Solve the equation. 2w−11w=−36 The solution is w= | Chegg.com
Solved Factor. 25w2+60w+36 | Chegg.com

Key Insights

Step 2: Simplify the Left Side

Now multiply:
2 × 3w = 6w

So the equation is simplified to:
6w = 36

Continue Reading

Das Auto fährt 30 Meilen pro Gallone und kann mit 10 Gallonen 300 Meilen fahren.
Der Umsatz eines Unternehmens ist im vergangenen Jahr von 500.000 $ auf 650.000 $ gestiegen. Um wie viel Prozent ist der Umsatz gestiegen?
Berechne den Anstieg:

🔗 Related Articles You Might Like:

📰 new moon march 2025 📰 green bay packers vs new york giants stats 📰 is tomorrow a federal holiday 📰 Shocking Y2K Sketches That Mine The Future Of Nostalgia Dont Miss These Bold Creations 3504779 📰 Red String Bracelet Hacks The Simplest Mystery Solving Tool Youve Been Missing 7265549 📰 Red Llama Dancer In Pajamas Stole My Soul This Night Visually Shook Me 6333122 📰 How Many Oz Of Water Should We Drink A Day 1886729 📰 A Loan Of 5000 Is Taken At An Annual Interest Rate Of 6 Compounded Monthly What Will Be The Balance After 2 Years 9593232 📰 Unlock The Ultimate Trucking Game Experiencesources Inside 5507684 📰 Losing Big Here Are The Losers Todays Stockswake Up Before You Join The Coffee 9610002 📰 Attention Gamers Snake Game S Is Taking The Internet By Stormplay Before Its Gone 5778637 📰 You Will Not Believe What Nintendo Adr Gets Built Into Their Latest Game 5785212 📰 Derek Dixon The Oval 3790109 📰 Adapted Mind The Revolutionary Brain Trick Youve Never Heard Of 4283661 📰 Calculation Left15Rightfrac13 1 Approx 11447 1 01447 4059826 📰 Stop Wasting Money On Wrong Estimatesthis Calculator Reveals Everything 8072517 📰 Adblocker Ultimate 4189018 📰 Binom42 6 9818356

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.