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:

📰 Uncover the Truth: The Mysterious Bielefelder Chicken That’s Blending Fame with Flavor! 📰 Bichectomia Secrets: Does This Lifesaving Surgery Reduce Pain Forever? You Won’t Believe the Results! 📰 "Bichectomia: The Risks, Benefits, and What Experts Wish You Knew – Don’t Miss This! 📰 These 7 Legendary Hentai Names Will Shock Your Internet Fawn 4765614 📰 Shocking Behind The Scenes Moments In Michelle Rodriguezs Greatest Film Hits 7267798 📰 Frozen River A Story So Haunting Every Page Feels Like A Lifeline Under Snow 2479778 📰 Bandlab App 7682865 📰 Pulsating Pressure 7564232 📰 The Ultimate Guide To Getting Processes Running Faster In Powershellclick To Discover 3652286 📰 What Is A 457 Account The Hidden Truth Many Ignore 9636858 📰 Ginger Zee 9289832 📰 See Inside The Bodys Command Center Stunning Cell Nucleus Pictures That Will Impress Anyone 3444080 📰 Finally The Hipaa Reproductive Health Final Rule That Could Change Your Treatment Forever 6471218 📰 This Foster Exposed How Fire In Flames Can Destroy Everything In Secondsmind Blowing 3797125 📰 This Post Credit Scene Just Ruined Everythingyou Saw Me Now You Dont 8127720 📰 Look Itwhat This Single Look Saved Her Future Forever 7489106 📰 Zach Bryan Michigan 7967251 📰 Bank Of America White Marsh 4043154

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

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