Solving the Equation: 2(2w + 3 + w) = 54 → Simplifying to 2(3w + 3) = 54

Understanding and solving linear equations is a fundamental skill in algebra that forms the basis of more advanced mathematics. One common type of equation you often encounter is when parentheses are used with expressions involving variables. In this article, we’ll walk through step-by-step how to solve the equation:

2(2w + 3 + w) = 54,
and show how it simplifies neatly to:
2(3w + 3) = 54,
leading to an easy solution for w.

Understanding the Context

Step 1: Simplify the Expression Inside the Parentheses

The equation begins with:

2(2w + 3 + w) = 54

$\Rightarrow \quad \frac{a}{b}=\frac{3+1+2 \sqrt{3}}{3+1-2 \sqrt{3}} \Righ..$

Image Gallery

$\Rightarrow \quad \frac{a}{b}=\frac{3+1+2 \sqrt{3}}{3+1-2 \sqrt{3}} \Righ..$

Bright Quad LED 54 3W LED PAR Stage - 3W LED PAR and LED 54 3W PAR Light

Solved Find the product. (2w - 3)(3w+5) 2 (2w-3)(3w+5) = 6 + | Chegg.com

Key Insights

Before solving, combine like terms inside the parentheses:

2w + w = 3w
- The constant +3 remains.

So,
2w + 3 + w = 3w + 3

Now the equation becomes:
2(3w + 3) = 54

This matches the simplified form 2(3w + 3) = 54, as shown.

🔗 Related Articles You Might Like:

📰 \[ 5d = 600 \] 📰 \[ d = 120 \, \text{km} \] 📰 #### 120 📰 Dive Into Flavor The Swordfish Feast You Didnt Know You Needed 📰 Do Black Noses In Wolves Prove Genetic Dominance The Answer Will Shock You 📰 Do Clinton And Trumps Hidden Moment Shake The Political World Forever 📰 Do Doctors Know This Dangerous Truth About Trendelenburg In Every Patient 📰 Do Swords Hold The Key To Legendary Catches Swords Fishing Shocks Every Angler 📰 Do Temple Universitys Physician Assistants Hold The Key To Faster Care The Shocking Truth 📰 Do These Peppers Kill Your Tongue Uncover The Most Intense Pepper Types 📰 Do They Finally Release Lies Season 3 The Countdown Has Begun Are You Still Waiting 📰 Do This One Ingredient To Transform Your Sweet Potato Mash Like A Master Chef 📰 Do This Simple Step And Watch Uc Catalyst Change Everything 📰 Do Ubereats Show You What Your Weekly Food Expenses Really Reveal 📰 Do You Have Chronic Fear Of Intimacy Your Secret To Healing Avoidant Attachment Starts Here 📰 Do You Have The Key To This Missing Toyota Highlander Its For Sale Now 📰 Do You Have The Perfect Toys For Your Toddlers First Year 📰 Do You Know Ta And Ta Can Unlock Hidden Power Inside You

Final Thoughts

Step 2: Solve for w

Now, solve the simplified equation:

2(3w + 3) = 54

Divide both sides by 2
To isolate the parenthetical expression, divide both sides by 2:

$$
\frac{2(3w + 3)}{2} = \frac{54}{2}
\Rightarrow 3w + 3 = 27
$$

Subtract 3 from both sides

$$
3w + 3 - 3 = 27 - 3
\Rightarrow 3w = 24
$$

Divide both sides by 3

$$
w = \frac{24}{3} = 8
$$