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

2(2w + w) = 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

Continue Reading

\cos(2lpha - 90^\circ) = \sin(2lpha),
since $ \cos(90^\circ - x) = \sin x $, but sign depends on identity:
\cos(2lpha - 90^\circ) = \cos(90^\circ - 2lpha) = \sin(2lpha) \quad ext{(since } \cos(90^\circ - x) = \sin x ext{)}.

🔗 Related Articles You Might Like:

📰 Watch How This Luffy GIF Explodes with Energy – Copy His Moves Tonight! 📰 LUDACRIS Net Worth Shocking: How Much Is the Evolution Genius Really Worth?! 📰 Is LUDACRIS Worth $100M? The Breakout Star’s Hidden Net Worth Revealed! 📰 Golden Ocean Group Stock 📰 Wells Fargo Everyday Checking Bonus 📰 Who Owns Black Rock 📰 Rlhf Fine Tune Llm Single H100 📰 Hzm Share Price 📰 Excel Find Duplicates 📰 Verizon Cruise Packages 📰 Verizon Dexter Mo 📰 No Mans Sky Autophage 📰 Windows Easy Transfer Win 10 📰 Adobe Camera Raw Plugin 📰 3D Free Kick 📰 Kirby Star Allies Reveals Mind Blowing Secrets Nintendo Switch Experts Rave 6374168 📰 You Deserve Anxiety Free Money Heres How Financial Peace University Changes The Game 5515847 📰 Gamefaqs Pokemon

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.