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:

📰 Hulu Pricing Plans 📰 Is Sofi Legit 📰 Ny Car Insurance Quotes 📰 Saint Petersburg Russia Weather 9376209 📰 Download Hevc Video Extensions 3049887 📰 Most Assists In Nba History 2846731 📰 Shocked Viewers See Billie Eilishs Rare Rated Photo Heres Whats Above The Fold 6286327 📰 Ct Deep 5512233 📰 The Village Features Low Walled Mud And Thatch Huts Arranged In Modest Clusters Residents Rely Heavily On Hand Tools Communal Cooperation And Foraging Techniques Passed Down Through Oral Tradition Intra Family And Inter Clan Relationships Are Governed By Elders With Elders Playing A Key Role In Decision Making And Cultural Transmission 6840978 📰 Wells Fargo Culpeper 📰 The Shocking Swedish Date Format Everyones Using To Impress First Dates 2267790 📰 Mahjong War Games 📰 Mexican People Are What Race 📰 Critical Evidence Powerpoint Datapoint Add In And People Can T Believe 📰 Big Movers Stocks Are Surprising Investorsheres How Theyre Transforming The Market 4836102 📰 Good F2P Games On Steam 📰 What Political Party Does Target Support 📰 Stock Alert Bxbl Stock Is Ready To Skyrocketheres What Investors Need To Know Now 8599494

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

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