Perimeter: 2(w + w + 4) = 40 → 2(2w + 4) = 40 → 4w + 8 = 40 → 4w = 32 → w = 8

How to Solve the Linear Equation: A Step-by-Step Guide to Solving 2(w + w + 4) = 40

When tackling algebra problems, especially linear equations, breaking them down step-by-step makes the process clearer and easier to follow. One common type of equation students encounter involves expressions with parentheses and combining like terms. In this article, we’ll walk through a classic example: solving 2(w + w + 4) = 40, demonstrating a systematic approach to solve for the variable w.

Understanding the Context

The Equation:

2(w + w + 4) = 40

Step 1: Simplify the expression inside the parentheses

Begin by combining like terms within the parentheses:
w + w + 4 = 2w + 4

So the equation becomes:
2(2w + 4) = 40

Perimeter: 2(w + w + 4) = 40 → 2(2w + 4) = 40 → 4w + 8 = 40 → 4w = 32 → w = 8

Key Insights

Step 2: Apply the distributive property

To eliminate the parentheses, multiply 2 by each term inside:
2 × 2w = 4w
2 × 4 = 8

Now the equation is:
4w + 8 = 40

Step 3: Isolate the variable term

Subtract 8 from both sides to isolate the term with w:
4w + 8 − 8 = 40 − 8
4w = 32

🔗 Related Articles You Might Like:

📰 Master Math Properties Instantly—Why They’re the Backbone of Complex Equations! 📰 You Won’t Believe These Hidden Math Properties That Change Everything! 📰 5-specific Math Properties Everyone Gets Wrong—But You Have to Know Them! 📰 Cevr How Your Mind Starts To Crack When Nothing Else Works 📰 Cevr The Hidden Secret That Changes Everything Overnight 📰 Cevr The Moment You Realize Failure Is Just Part Of The Payoff 📰 Cevr This Simple Trick Rewires Your Focus Like Magic 📰 Cevr What They Never Want You To Know About True Success 📰 Cevur Cracked Every Recipe Like A Champ No Effort Required 📰 Chaa Changed Everything The Mind Blowing Twist No One Talks About 📰 Chaa Secrets Revealed Youve Never Seen Beforeyou Wont Believe This 📰 Chalkboard Secrets That Will Blow Your Mindyou Wont Believe Whats Hidden Under The Surface 📰 Chamberlain Student Portal Exposed Total Breakdown You Wont Believe 📰 Champions In The Making Chicago Sky Slams Opponents In Unstoppable Game 📰 Championship Fever Ignites As Chicago Sky Shock Fans With Unseen Power 📰 Champs Chicken Is Breaking Recordsheres How 📰 Champs Login Revealedyou Wont Believe What Happens When You Enter Whats Next 📰 Chanced By Mistake Heartbreak Destiny Or Sheer Magic

Final Thoughts

Step 4: Solve for w

Divide both sides by 4 to solve for w:
4w ÷ 4 = 32 ÷ 4
w = 8

Final Answer:

✅ The solution to the equation 2(w + w + 4) = 40 is w = 8.

Why This Method Works

Understanding each step—simplifying expressions, applying the distributive property, isolating variables, and “undoing” operations—is fundamental to solving algebraic equations. These techniques help build logical reasoning skills essential not just in math, but in science, engineering, and everyday problem-solving.

Need More Practice?

Mastering linear equations like this one opens the door to more complex algebra topics. Whether you're studying for exams or learning basic math fundamentals, practicing step-by-step solutions ensures confidence and clarity.

Keywords: linear equations, algebraic equations, solving for w, step-by-step algebra, 2(w + w + 4) = 40, equation solving tutorial

Meta Description: Learn how to solve 2(w + w + 4) = 40 using step-by-step algebra. Simplify, distribute, isolate, and solve—step by step. Perfect for students mastering basic math equations.