\[ 2(w + 2w) = 36 \] - Coaching Toolbox
How to Solve the Equation: 2(w + 2w) = 36 – A Step-by-Step Guide
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.
Image Gallery
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:
📰 Oracle Developers Uncover the Secret to Winning Tech Jobs in 2024! 📰 Why Every Company Wants These Oracle Developers—You Need to Know! 📰 Behind the Scenes: Oracle Developers Who Built Enterprise-Grade Solutions! 📰 Spy Price Defense Strategies That Money Cant Buyunlock The Secrets Behind The Storm 9198562 📰 From Wilted To Wonderful Lilys Garden Miracles That Will Make You Relive Spring Every Day 5897771 📰 Drake And Josh Stream 4154518 📰 Ebony Baddies Format Bold Beautiful And Breaking Stereotypes Full List 3374026 📰 How A Single Student Doubled Their Grades Using Masteryconnects Hidden Method 9566858 📰 Roblox Job Openings 1621088 📰 Error Bars 8325960 📰 30 Years Unfolded Exclusive Stories That Prove This Anniversary Is Unforgettable 2795868 📰 Wind Down Security How Clock Watchdog Timeouts Can Crash Windows 11 Instantly 8131258 📰 Nancy Drew Deadly Device Walkthrough 4198560 📰 Shocking Federal Poverty Scale Facts That Could Change How You See Public Aid Forever 1494240 📰 Is This Hut Stock The Brokerages Best Kept Secret Experts Weigh In 3137515 📰 St James Tea Room Neighbors Are Obsessedthis Hidden Tea Spot Is Requirement To Visit 2117272 📰 Georgia Lottery Today 7289399 📰 How Long Does Molly Last 676570Final 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.
