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
Poplar 54" Quad Pendant | Rejuvenation
Poplar 54" Quad Pendant | Rejuvenation
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.

Continue Reading

For \( n = 12 \):
\sum_{k=1}^{12} k^3 = \left( \frac{12 \cdot 13}{2} \right)^2 = (78)^2 = 6084
Now compute \( 6084 \mod 9 \). Use digit sum or direct division:

🔗 Related Articles You Might Like:

📰 What Real Estate Legend Determinedomet The 1993 NBA Draft’s Biggest Draft Class? 📰 1993 NBA Draft Shock: Why That Year Produced Basketball’s Greatest Stars! 📰 1990 Camaro: The Hidden Legacy That Revived Classic Muscle Forever! 📰 How To Craft Like A Pro The Ultimate Guide To Getting Your Crafting Table 📰 How To Craft Perfect Pistons In Minecraft The Ultimate Beginners Guide 📰 How To Craft The Stone Cutter In Minecraft It Only Takes 3 Easy Steps 📰 How To Create A Bold Mohawk Fade That Will Steal Every Look Ranked 1 By Experts 📰 How To Create Perfect Resin Art Discover The Ultimate Mould Secret 📰 How To Dig The Perfect Diamond Mine In Minecraft Dot This For Maximum Rewards 📰 How To Draw A Monkey Fast Perfect Easy Sketch Tips Inside 📰 How To Embrace Your Mom Bod The Ultimate Guide Every Busy Mom Deserves 📰 How To Find Mountain Lion Tracks These Signs Are Hidden Everywhere 📰 How To Get Free Minecraft Mcdonalds Merch Rule The Creative Zone 📰 How To Get Milky White Nails That Steal Every Inbox The Ultimate Guide 📰 How To Get The Ultimate Splash Potion Of Weakness Dominate Your Survival Game 📰 How To Grow A Money Flower Bouquet That Delivers Real Roi Must Watch Tutorial 📰 How To Grow Your Bank Account With Simple Money Clips Everyones Using 📰 How To Hit The Critical Diamond Level In Minecraft Like A Pro Transform Your Game

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

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