Solving the Equation 2(w + 3w) = 64: A Step-by-Step Guide with Common Problems Explained

Understanding and Solving the Equation 2(w + 3w) = 64

Understanding the Context

Equations are fundamental tools in algebra that help us find unknown values by balancing expressions. One common type is linear equations involving parentheses and combined like terms. An equation like 2(w + 3w) = 64 might seem simple, but mastering its solution builds a strong foundation for more complex math concepts.

If you're learning algebra or reviewing linear equations, solving something like 2(w + 3w) = 64 helps develop essential problem-solving skills. In this article, we’ll break down the steps to solve this equation, explain why each step matters, and clarify any common pitfalls students encounter.

Step 1: Simplify the Expression Inside the Parentheses

Key Insights

Start by combining like terms inside the parentheses:
w + 3w = 4w

So the equation becomes:
2(4w) = 64

This simplification is crucial—it reduces complexity and reveals the equation’s true form: 8w = 64

Step 2: Isolate the Variable w

🔗 Related Articles You Might Like:

📰 How Trump’s New Initiative Is Rewriting History to Make America Look Better Than Ever 📰 Breakthrough Move as Trump Announces Stripes of Glory to Color the Nation Anew 📰 Trump’s Bold New Push Promises to Make America Glorious—Here’s What He’s Really Planning 📰 Hogwarts Legacy Ps5 The Ultimate Compilation You Cant Miss Play Now Feel The Magic 📰 Hogwarts Legacy Switch The Shocking Twist Thats Taking Gaming By Storm 📰 Hogwarts Legacy Switched Everythingheres Why You Need To Try It Immediately 📰 Hogwarts Mystery Holds The Eastcoats Best Kept Secret Are You Ready 📰 Hogwarts Mystery Secrets Exposed Beware This Episode Changes Everything 📰 Hoisin Sauce Crisis Discover The Perfect Free Alternative That Tastes Amazing 📰 Hojicha Latte Is The Hidden Coffee Secret You Need To Know 📰 Hokage Hocage Unveiled The Secret Power That Changed The Ninja World Forever 📰 Hokage Hokage Revealed The Legendary Secrets Every Fan Needs To Know Now 📰 Hoki108Website Clickbait Hacks Reveal How To Win Big Every Single Time 📰 Hokuto Ken Shocked Fans The Hidden Secrets Behind His Iconic Karate Style 📰 Hokuto Kens Secret Techniques That Will Rewire Your Fighting Strategies 📰 Hold Me Down By Daniel Caesar This Secret Lyric Changed Everything You Wont Forget It 📰 Hold Up Meme So Catchy Its Going Viralwatch The Reaction Unfold 📰 Hold Up Meme That Made Tiktok Explodeyouve Never Seen It Like This

Final Thoughts

To solve for w, divide both sides of the equation by 2:
(8w)/2 = 64/2
4w = 64

Dividing by the coefficient of w isolates the variable, making it easier to find its value. (Always divide both sides by the same number to maintain equation balance.)

Step 3: Solve for w by Dividing Both Sides by 4

Now divide both sides by 4:
4w ÷ 4 = 64 ÷ 4
w = 16

This final step gives you the value of w. Always check your solution by substituting w = 16 back into the original equation.

Step 4: Verification — Plug the Solution Back In

Substitute w = 16 into 2(w + 3w) = 64:
Left side:
2(16 + 3×16) = 2(16 + 48) = 2(64) = 128
Wait — that’s not equal to 64!

But hold on—let’s double-check the arithmetic carefully: