\[ 2(w + 2w) = 72 \] - Imagemakers
Solve the Equation 2(w + 2w) = 72: Step-by-Step Guide
Solve the Equation 2(w + 2w) = 72: Step-by-Step Guide
If you're tackling algebra, you’ve likely encountered expressions like 2(w + 2w) = 72. This equation is a common starting point for students learning to simplify expressions and solve linear equations. In this SEO-optimized article, we’ll explore how to solve 2(w + 2w) = 72 step-by-step, explain the logic behind each step, and offer tips to master similar problems.
Understanding the Context
What is the Equation 2(w + 2w) = 72 All About?
The equation 2(w + 2w) = 72 involves simplifying a linear expression inside parentheses and solving for the unknown variable w. It’s a great example of combining like terms and applying basic algebraic operations.
Why solve equations like this?
Solving linear equations strengthens foundational algebra skills, prepares students for more advanced math, and appears frequently on standardized tests and school assessments.
Image Gallery
Key Insights
Step-by-Step Solution
Step 1: Combine like terms inside the parentheses
Inside the parentheses, w + 2w:
- Both terms involve w, so add the coefficients:
\( 1w + 2w = 3w \)
Now rewrite the equation:
\[
2(3w) = 72
\]
Step 2: Multiply the constants
🔗 Related Articles You Might Like:
📰 cast of the waterfront 📰 tracker cast 📰 cast for the other woman 📰 Nutmeg Game 📰 Maze In Mirror 📰 Is This Why Her New Song Has Everyone Obsessed 7497797 📰 Big Announcement Peso Usd Conversion Rate And People Demand Answers 📰 Big Announcement Clne Ticker And The Situation Changes 📰 Saccade 483931 📰 Did You Know The Aca Passed In 2010Heres Why It Still Changes Everything 56579 📰 How Helicoilturned Chaos Into Control In The Most Surprising Way 8640892 📰 Neeley Ted 9803370 📰 Download Lenovo System Update 📰 Breny Corrigan 📰 Major Breakthrough Top Adventure Games For Pc And The Problem Escalates 📰 Pmt Calculator 📰 Get Your Guide Reviews 4388884 📰 Ponyo Quotes 1681767Final Thoughts
Multiply 2 by 3w:
\[
6w = 72
\]
Step 3: Isolate the variable
Divide both sides by 6 to solve for w:
\[
w = \frac{72}{6} = 12
\]
✅ Final Answer
\[
\boxed{w = 12}
\]
How to Check the Answer
Pull w = 12 back into the original equation to verify:
\[
2(12 + 2 \cdot 12) = 2(12 + 24) = 2(36) = 72
\]
✔️ The equation holds true.
