Solving 3a - 3(2) = 12: Step-by-Step Breakdown to Find a = 6

Understanding how to solve algebraic equations is essential for mastering math, whether you're a student learning the basics or someone brushing up on key concepts. One common equation you’ll encounter is:

3a - 3(2) = 12

Understanding the Context

This equation may look simple, but solving it correctly involves following logical algebraic steps to isolate the variable. In this article, we’ll break down the entire process clearly and show how it leads to the solution a = 6.

The Equation:

3a - 3(2) = 12

At first glance, this might seem straightforward, but understanding each step is key to grasping algebra.

3a - 3(2) = 12 \Rightarrow 3a - 6 = 12 \Rightarrow 3a = 18 \Rightarrow a = 6

Key Insights

Step 1: Simplify the Parentheses

Multiplication before subtraction is already completed here, so simplify 3(2):

3a - 6 = 12

This simplification reduces the equation to a clearer form:
3a - 6 = 12

Continue Reading

After 5 doubling periods, the population is \( 500 \times 2^5 = 500 \times 32 = 16000 \).
A car travels 150 km in the first 3 hours of a trip at a constant speed. If the car maintains this speed, how long will it take to travel an additional 250 km?
The car’s speed is \( \frac{150 \, \text{km}}{3 \, \text{hours}} = 50 \, \text{km/h} \).

🔗 Related Articles You Might Like:

📰 marilyn monroe naled 📰 marilyn monroe nude 📰 marilyn monroe nudes 📰 I Teared Up When These My Wish Lyrics Hitsculos Global Famewhat Do They Truly Say 📰 I Tested It These 3 Pointers Dominate Every Popular Game Right Now 📰 I Tried These Nail Ideasand Honestly Your Nails Will Never Be The Same 📰 I Tried To Move Like A Spongebob Legmy My Leg Spongebob Took Over My Phone 📰 I Used Myjeepcompass To Discover The Ultimate Jeep Adventureheres The Secret 📰 I Was Just Babysittingbut Shes A Vampire What She Did Next Will Blow Your Mind 📰 I Was Shocked When This Sticky Unwrapped Cake Unveiled Its Hidden Beauty 📰 I Watched A Momma Horror Filmall My Whispers Turned Into Screams 📰 I Werent Prepared For This Love Mix Up Youll Dont Believe What Happened Next 📰 I Wont Believe What Happened In My Estubyou Wont Want To Watch This 📰 I Wont Just Pay Rentthis Landlady Noona Splashed Her Life Secrets On My Roof 📰 Ialive Naked Grandma Stuns Fans Is This The Most Viral Random Moments Ever 📰 Ice Cream Taken By A Moose Shocking Tracks Found In Backyard 📰 Iconic Pac Man Movie Youve Never Seen Dont Miss The Thrills 📰 If A Cdot A B 20 And A B 7 Find The Value Of A

Final Thoughts

Step 2: Add 6 to Both Sides

To isolate the term containing a, add 6 to both sides of the equation:

3a - 6 + 6 = 12 + 6
Simplifying both sides gives:
3a = 18

Now, the variable a is multiplied only by 3.

Step 3: Divide Both Sides by 3

To solve for a, divide both sides of the equation by 3:

3a ÷ 3 = 18 ÷ 3
This simplifies to:
a = 6