\[ 2(w + 2w) = 72 \] - Decision Point
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:
📰 ron vachris 📰 h&e equipment 📰 active noise reduction earphone 📰 Explore Pils Substation Of History And Tranquil Living In Latvias East 928999 📰 Heloc Meaning 6288642 📰 Download The Air B And B App Today And Unlock Secret Deals No Ones Talking About 2001882 📰 Game Robot Game Robot How This Robotic Hunter Won 10 Tournaments In One Weekuncover The Secret 9384950 📰 This Swahili Archipelago Reveals Secrets Thatll Shatter Your First Impressions Of Tanzania 469102 📰 Wells Fargo Checking Account Types 3165638 📰 Apple Watch Ultra 3 Bands 5824058 📰 You Wont Believe What Your Accountview Reveals About Your Hidden Data 8028881 📰 Ssbm Rankings 9979574 📰 What Are Bank Of Americas Current Cd Rates 5158657 📰 Crazy Facts 3790954 📰 Last Super Bowl Eagles Won 2046611 📰 Bright 2017 4236681 📰 From Kitten To Masterpiece Watch Your Creativity Soar With This Kitty Coloring Page 5537801 📰 Master Shen Counters Like A Pro Top Secrets Revealed 4861291Final 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.
