2(2w + w) = 36 - NBX Soluciones
Solving 2(2w + w) = 36: A Simple Step-by-Step Guide for Beginners
Solving 2(2w + w) = 36: A Simple Step-by-Step Guide for Beginners
Understanding how to solve equations is a fundamental skill in algebra, and equation like 2(2w + w) = 36 is one of the most common beginners’ problems. In this article, we’ll walk you through solving this equation step-by-step, explain the key algebraic principles, and show how this method applies to real-world problem-solving.
Understanding the Context
What Does the Equation Mean?
The equation 2(2w + w) = 36 represents a real-life scenario where two times the sum of 2w and w equals 36. Breaking it down:
- Inside the parentheses: 2w + w — combining like terms means w adds to 2w, giving 3w
- Then multiplied by 2: 2 × 3w = 6w
So the equation simplifies to:
6w = 36
Image Gallery
Key Insights
Step-by-Step Solution
Step 1: Simplify the expression inside the parentheses
Start with the original equation:
2(2w + w) = 36
Since 2w + w = 3w, replace it:
2 × 3w = 36
Multiply:
6w = 36
🔗 Related Articles You Might Like:
📰 williams college acceptance rate 📰 paper culture 📰 college student 📰 Topflixtv Splosion This 10 Minute Watch Will Change Everything Forever 7757022 📰 The Ultimate Guide To Asset Protection Strategies That Protect Your Fortune Automatically 2087578 📰 Given The Conflict And Noting That In Many Functional Equation Problems If Not Specified They Expect The Explicit Family Count But Here The Most Precise Mathematical Answer Is That There Are Infinitely Many 4002140 📰 You Wont Believe What Hides Behind That Badge Holder Secret 7154489 📰 Rodeos Riding Your Block The Closest Ereignis Begins Tonight 9041843 📰 Mortgage Rates Just Droppedget A Home Before These Magic Numbers Change Again 3705554 📰 Film This Is It 9127500 📰 The Shocking Truth About Roth Accounts Why Everyone Must Start Investing Now 6783971 📰 Popular Games 2024 1293576 📰 180 Riverside Boulevard Nyc 3455563 📰 Holy Innocents Episcopal School 4334179 📰 Tromboncino Squash The Rare Culinary Gem Youre Overlookingsee Why 5384829 📰 A Triangle Has Sides Of Lengths 7 Cm 24 Cm And 25 Cm Is This Triangle A Right Triangle 5060823 📰 Myfoxphilly 2716561 📰 Perhaps The New Median Is Not Of The Same 8 But Of 9 And Average Of 5Th And 6Th Is 16 While Original Was 15 4805277Final Thoughts
Step 2: Isolate the variable w
To solve for w, divide both sides of the equation by 6:
6w ÷ 6 = 36 ÷ 6
This gives:
w = 6
Verifying the Solution
Plug w = 6 back into the original equation:
2(2×6 + 6) = 2(12 + 6) = 2×18 = 36 ✔️
The solution checks out!
Why Understanding This Matters
Solving 2(2w + w) = 36 isn’t just about finding w = 6—it’s about mastering essential algebraic tools:
- Combining like terms: Combining 2w and w simplifies expressions for easier solving.
- Distributing multiplication over addition: Applying the 2 to each term inside the parentheses correctly ensures accuracy.
- Isolating variables: Dividing both sides to find the unknown variable is a core technique in any equation-solving scenario.
