\[ 2(w + 2w) = 72 \] - Coaching Toolbox
Solve the Equation 2(w + 2w) = 72: Step-by-Step Guide
Solve the Equation 2(w + 2w) = 72: Step-by-Step Guide
If you're tackling algebra, you’ve likely encountered expressions like 2(w + 2w) = 72. This equation is a common starting point for students learning to simplify expressions and solve linear equations. In this SEO-optimized article, we’ll explore how to solve 2(w + 2w) = 72 step-by-step, explain the logic behind each step, and offer tips to master similar problems.
Understanding the Context
What is the Equation 2(w + 2w) = 72 All About?
The equation 2(w + 2w) = 72 involves simplifying a linear expression inside parentheses and solving for the unknown variable w. It’s a great example of combining like terms and applying basic algebraic operations.
Why solve equations like this?
Solving linear equations strengthens foundational algebra skills, prepares students for more advanced math, and appears frequently on standardized tests and school assessments.
Image Gallery
Key Insights
Step-by-Step Solution
Step 1: Combine like terms inside the parentheses
Inside the parentheses, w + 2w:
- Both terms involve w, so add the coefficients:
\( 1w + 2w = 3w \)
Now rewrite the equation:
\[
2(3w) = 72
\]
Step 2: Multiply the constants
🔗 Related Articles You Might Like:
📰 This Nightmare-Level Reveal in Kingdom Hearts 4 Will Blow Your Mind! Autosizes Alert! 📰 The Most Surprising Character to Drop in Kingdom Hearts 4—You Must Watch Now! 📰 Kingdom Hearts 4 Lands with a Shocking Twist—Future Fans Are Setting Hearts on Fire! 📰 The Hidden Warning What Every Mucus Hue Tells You About Your Health 2630405 📰 5The Battles Of Verneuil En Halatte Also Called The Two Battles Of Verneuil Were Fought Between Two Armies Loyal To The French And Burgundian Factions During The Civil Wars Of The 1460S The First Was An Uprising By The Burgundians That Was Defeated In 1465 While The Second Was A Decisive Burgundian Victory In 1469 3292826 📰 Shocked To See Usd Collapsing 1Usd Thousands Of Colonesheres Why 6113039 📰 A Mammalogist Studies 4 Packs Of Wild Dogs With 14 Members Each If 25 Of Each Pack Is Juveniles How Many Juveniles Are There In Total 4228289 📰 Hell Is Empty And All The Devils Are Here 4545313 📰 Denki Mha 6179469 📰 Play These Free Bicycle Games Tonightno Cost Maximum Fun Guaranteed 3126048 📰 From Birth To Perfection The Shocking Truth Behind The Best Reborn Dolls Reborn 3655233 📰 6 7 Trend 2492387 📰 Public Bet Your Future 2025 Nfl Draft Simulator Reveals Stars Before The Real Draft 1389208 📰 Charleston Greek Fest 7041221 📰 Youre Getting Paid Less In Overtimeheres What Youre Not Taxed For 3047296 📰 Taco Tuesday Tonight Near Me This Mystical Feast Is Boiling Over In Local Fols 1744399 📰 Limited Time Ai Builder Credits Alert Claim Yours Before Theyre Gone 4377284 📰 But Consider Edge Is 95 Necessarily The Winner Given No Tie Yes 2697037Final Thoughts
Multiply 2 by 3w:
\[
6w = 72
\]
Step 3: Isolate the variable
Divide both sides by 6 to solve for w:
\[
w = \frac{72}{6} = 12
\]
✅ Final Answer
\[
\boxed{w = 12}
\]
How to Check the Answer
Pull w = 12 back into the original equation to verify:
\[
2(12 + 2 \cdot 12) = 2(12 + 24) = 2(36) = 72
\]
✔️ The equation holds true.
