2(2w + w) = 36 - Tacotoon

Solving 2(2w + w) = 36: A Simple Step-by-Step Guide for Beginners

Understanding how to solve equations is a fundamental skill in algebra, and equation like 2(2w + w) = 36 is one of the most common beginners’ problems. In this article, we’ll walk you through solving this equation step-by-step, explain the key algebraic principles, and show how this method applies to real-world problem-solving.

Understanding the Context

What Does the Equation Mean?

The equation 2(2w + w) = 36 represents a real-life scenario where two times the sum of 2w and w equals 36. Breaking it down:

Inside the parentheses: 2w + w — combining like terms means w adds to 2w, giving 3w
Then multiplied by 2: 2 × 3w = 6w

So the equation simplifies to:
6w = 36

Key Insights

Step-by-Step Solution

Step 1: Simplify the expression inside the parentheses
Start with the original equation:
2(2w + w) = 36

Since 2w + w = 3w, replace it:
2 × 3w = 36

Multiply:
6w = 36

🔗 Related Articles You Might Like:

📰 This Dr Croc Spiderman Mix Is Taking over Video Games – See Why! 📰 Dr Croc Spiderman Attack: The Hidden Fantasy Heroes You Need to See! 📰 Discover the Shocking Truth Behind Dr Croc Spiderman – It’ll Blow Your Mind! 📰 Huge Deal Alert Switch Games Slash Prices In The Last 24 Hours 📰 Huge News Switch 2 In Stockstock Up Before Its Gone For Good 📰 Huge News Switch 2 Preorder Just Droppedheres What You Missed 📰 Huge Savings Inside Grab The Best Temu Coupon Codewait Theyre Still Revealing It 📰 Huge Switch 2 Black Friday Deals You Cant Miss Save Big Before Black Friday 📰 Hulus Ultimate Gaming Showdown The Super Mario Bros Movie Explodes In Popularity 📰 Hunted Unbroken The Exiled Heavy Knights Shocking Secret To Gaming The System 📰 Hurry Target Switch 2 Pre Order Is Liveexclusive Features Inside 📰 I Almost Booed This Season 2 Of The Sopranos Now Youll Understand Its Genius 📰 I Ate A Tasting Menu That Took My Dining Experience From Ordinary To Amazing Heres How 📰 I Ditin Java Thank U In Vietnamactual Emotional Words That Shocked Me 📰 I Face The Horrors Head On The Darkness Persistsbut So Do I This Is Unbelievable 📰 I Found The Secret Dungeon No One Else Knows Aboutenter At Your Own Risk 📰 I Froze When Reading These Teacher Appreciation Quotesheres Why You Should Too 📰 I Hit 1000 Heres What No One Tells You About This Powerful Milestone

Final Thoughts

Step 2: Isolate the variable w
To solve for w, divide both sides of the equation by 6:
6w ÷ 6 = 36 ÷ 6

This gives:
w = 6

Verifying the Solution

Plug w = 6 back into the original equation:
2(2×6 + 6) = 2(12 + 6) = 2×18 = 36 ✔️

The solution checks out!

Why Understanding This Matters

Solving 2(2w + w) = 36 isn’t just about finding w = 6—it’s about mastering essential algebraic tools:

Combining like terms: Combining 2w and w simplifies expressions for easier solving.
Distributing multiplication over addition: Applying the 2 to each term inside the parentheses correctly ensures accuracy.
Isolating variables: Dividing both sides to find the unknown variable is a core technique in any equation-solving scenario.