2(w + 3w) = 64 - iBuildNew
Solving the Equation 2(w + 3w) = 64: A Step-by-Step Guide with Common Problems Explained
Solving the Equation 2(w + 3w) = 64: A Step-by-Step Guide with Common Problems Explained
Understanding and Solving the Equation 2(w + 3w) = 64
Understanding the Context
Equations are fundamental tools in algebra that help us find unknown values by balancing expressions. One common type is linear equations involving parentheses and combined like terms. An equation like 2(w + 3w) = 64 might seem simple, but mastering its solution builds a strong foundation for more complex math concepts.
If you're learning algebra or reviewing linear equations, solving something like 2(w + 3w) = 64 helps develop essential problem-solving skills. In this article, we’ll break down the steps to solve this equation, explain why each step matters, and clarify any common pitfalls students encounter.
Step 1: Simplify the Expression Inside the Parentheses
Image Gallery
Key Insights
Start by combining like terms inside the parentheses:
w + 3w = 4w
So the equation becomes:
2(4w) = 64
This simplification is crucial—it reduces complexity and reveals the equation’s true form: 8w = 64
Step 2: Isolate the Variable w
🔗 Related Articles You Might Like:
📰 convert binary to hexadecimal 📰 room temp in kelvin 📰 speed of sound in feet per second 📰 No Plot No Proofjust A Cheapie Car That Fools Everyone 9420474 📰 S M Stock Just Broke Recordsdont Miss The Secret Move Fueling Its Surge 5532718 📰 This Simple Directions Home Loop Saves Hours Without Anyone Knowing Why 5402462 📰 Calculate The Volume Of The Propeller With Radius R 1 Meter 5597063 📰 Cflyinginstructors Shocking Decision That Changes Every Future Pilot Forever 783643 📰 Did Assignment Help Crszygames Take Over The Gaming World Find Out Now 8475093 📰 Herofx Spills The Beat What Shes Really Doing Behind The Scenes 7289389 📰 Dont Watch Game 📰 Download Powershell 7 📰 Microsoft Essentials Update 📰 Shadow Naoto 📰 3 You Wont Believe What Happened After Boiling Etf Stockinvest Smart Today 507336 📰 Real Time Dow Jones 📰 Verizon Wireless Signal Booster For Home 📰 Legion Park The Hottest New Hotspot You Cant Miss In 2024 9679904Final Thoughts
To solve for w, divide both sides of the equation by 2:
(8w)/2 = 64/2
4w = 64
Dividing by the coefficient of w isolates the variable, making it easier to find its value. (Always divide both sides by the same number to maintain equation balance.)
Step 3: Solve for w by Dividing Both Sides by 4
Now divide both sides by 4:
4w ÷ 4 = 64 ÷ 4
w = 16
This final step gives you the value of w. Always check your solution by substituting w = 16 back into the original equation.
Step 4: Verification — Plug the Solution Back In
Substitute w = 16 into 2(w + 3w) = 64:
Left side:
2(16 + 3×16) = 2(16 + 48) = 2(64) = 128
Wait — that’s not equal to 64!
But hold on—let’s double-check the arithmetic carefully:
